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The solution of \(\dfrac{2x+1}{3x1}=\dfrac{3}{2} \) is
The ratio of number of males to the number of females are 7:4. If there are 84 males in the club, the total number of members are:
Let the number of males and females be 7x
and 4x respectively. AIQ
If two numbers differ by 3 and their product is 504, then the numbers are
Let the two parts be a and b such that a > b. AIQ From eq (2) and (3) we get Substituting the values we get
The ratio between a two digit number and the sum of digits of that number is 4:1, If the digit in the unitâ€™s place is 3 more than the digits in the tenth place. What is the number?
Two digit numbers is
sum of the digits
So,
The ratio of number of boys to girls in a class is 1:25, If 36 more girls join, the ratio becomes 1:28. The number of boys in the class is
In a two digit number, the tenâ€™s digit is 2 more than the unitâ€™s digit. Sum of the digits is \(\dfrac{1}{7}th \) of the whole number. find the number.
Number
Sum of the digits
So,
Number
How old is a man now who, 20 years ago was five times as old as his son who will be 41 years old 16 years after?
Let father be x years and son be y years.
And
From equations (1) and (2) we get,
There are 3 consecutive numbers whose sum is 129. Find the square of the middle one.
Let the numbers be
AIQ
The present age of a man is 3 times that of his son. Six years ago, the age of the man was four times that of his son. Find the ratio of their ages 6 years later.
Let the present age of son = x
Man =3x
Six years ago:
Age of man =3x6
Son = x – 6
Six years after:
Age of man
Age of son
Ratio
A bag contains as many rupees in it as there are 50 paise coins. Find the number of 50 paise coins if there be â‚¹30 in all.
Let number of one rupee coins =x and 50 paise coins =x
AIQ
A boat goes downstream and covers the distance between two ports in 4 hours while it cover the same distance upstream in 5 hours. If the speed of the stream is 2 kmph, the speed of the boat in still water is
Let the speed of the boat in still water be x km/hour
speed downstream = (x+2)km/hour
upstream =(x2) km/hour
AIQ 4 (x+2)=5(x2)
A farmer divides his herd of n cows among his four sons so that first son gets one half of the herd the second son gets one fourth, the third son gets one fifth and the fourth son gets 7 cows then n is
First son gets
Second son gests
Third son gets
Fourth son gets 7 cows
In a coconut grove, (x+2) trees yield 60 nuts per year, x trees yield 120 nuts per year and (x2) trees yield 180 nuts per year. If the average yield per year per tree be 100, then x is
If \(x\left(2x\dfrac{5x1}{3}\right)=\dfrac{x1}{3}+\dfrac{1}{2} \) then x is
A two digit number is less than 20. The sum of the digits is double that of their product. What is the number?
Let the oneâ€™s digit be x. Since 2 digit number
is less than 20, tenâ€™s digit = 1
AIQ
Required number =11
If \(\dfrac{1}{3} \) of a number is 10 less than the original number, then the number is
Let the number be x
The perimeter of a rectangle is equal to the area of a rectangle. If width is \(2\dfrac{3}{4}\ cm \) then the length is
Length of the rectangle = xcm
Width
Area
Perimeter
There were only two candidates in an election. One got 62% votes and was elected by a margin of 144 votes. The total number of voters were
One of the candidate got 62% votes other
got = (10062)% = 38%
Win margin of first candidate
= (6238)%
=24%
Let the total number of voters be x
AIQ
24% of x= 144
Solve for \( x\dfrac{3x+1}{16}+\dfrac{2x3}{7}=\dfrac{x+3}{8}+\dfrac{(3x1)}{14} \)
\( \dfrac{4}{3}y=\dfrac{3}{4} \) then y=
There are 40 passengers in the bus, some with â‚¹3 tickets and rest with â‚¹10 tickets. The total collection from this passengers is â‚¹295. Find how many passengers have tickets worth â‚¹3?
Let the passengers having ticket worth â‚¹ 3 = x
Half of a herd of deer are grazing in the field. Three fourth of the remaining are playing nearby. The rest 9 are drinking water from the pond find the number of deer in the herd.
Let the number of dear in the herd be x.
Solve: \( (2x+3)^2+(2x3)^2=(8x+6)(x1)+22 \)
Solve: \( \dfrac{9x7}{3x+5}=\dfrac{3x4}{x+6} \)
Raman sold an article for Rs 891 and gained 10% on it. find the CP of the article
The present age of Sahilâ€™s mother is three times the present age of Sahil. After 5 years their ages will add to 66 years. Find their present age.
Let the present age of Sahil be x years and mother be 3x.
AIQ
The denominator of a fraction is greater than the numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1 the number obtained is \( \dfrac{3}{2} \) find the fraction.
The fraction
If \( 45[28\{37(15x)\}]=58 \) then x is
The value of x so that 14(2x3) â€“ 60x =5 (159x) is
If two supplementary angles differ by \( 44^o \) then one of the angle is
Let the two angles be x and (180x)
AIQ
What is the value of pthat makes the following true? \( p\{4(2\div8\div4)\}=8 \)
184 is divided into two parts such that one part may exceed one seventh of the other part by 8, then the greatest part is
Let one part be x and other be 184 x
Greater part = 184 – 30=154
Find the value of \( y: \dfrac{0.5y9}{0.25}=4y3 \)
The two consecutive even numbers whose sum is 86 are
Let the two consecutive even numbers are x
and x+2
If \( \dfrac{5m}{6}+\dfrac{3m}{4}=\dfrac{19}{12} \) then the value of m is
The present age of Rohan and Rohit are in the ratio 11:6. Six years ago, Rohan was twice as old as Rohit. What is the present age of Rohit?
Let the present age of Rohan and Rohit be 11x and 6x respectively AIQ
Solve for \( x:\dfrac{xa}{b+c}+\dfrac{xb}{c+a}+\dfrac{xc}{a+b}=3 \)
Replace xwith a+b+c
If the difference of the squares of two numbers is 45, the square of the smaller number is 4 times the larger number, then the numbers are
$a^{2}b^{2}=45$
Substitute