type 2 age based ratio & proportion problems Section-Wise Topic Notes With Detailed Explanation And Example Questions
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The following question based on ratio & proportion topic of quantitative aptitude
(a) 3 : 5
(b) 5 : 6
(c) 2 : 3
(d) 1 : 4
The correct answers to the above question in:
Answer: (a)
Let the present age of two brothers be x and 2x years.
Now, ${x - 5}/{2x - 5} =1/3$
3x - 15 = 2x - 5
3x - 2x = 15 - 5
x= 10
Their present age
= 10 and 20 years
After 5 years their required ratio
= $15/25 = 3/5$ = 3 : 5
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Read more age based ratio and proportion problems Based Quantitative Aptitude Questions and Answers
Question : 1
The average age of boys in the class is twice the number of girls in the class. The ratio of boys and girls in the class of 50 is 4 : 1. The total of the ages (in years) of the boys in the class is
a) 800
b) 400
c) 2500
d) 2000
Answer »Answer: (a)
Boys in class = $4/5 × 50$ = 40
Girls = $1/5 × 50$ = 10
Average age of boys
= 10 × 2 = 20 years
Total age of boys
= 20 × 40 = 800 years
Question : 2
The ratio of the age of a father to that of his son is 5: 2. If the product of their ages in years is 1000, then the father's age (in years) after 10 years will be :
a) 80
b) 100
c) 60
d) 50
Answer »Answer: (c)
Let father’s age be 5x years.
Son’s age = 2x years
5x × 2x = 1000
$x^2$ = 100 ⇒ x = 10
Father’s age after 10 years
= 5x + 10
= 5 × 10 + 10 = 60 years
Question : 3
At present, the ratio of the age of Maya and Chhaya is 6 : 5 and fifteen years from now, the ratio will get changed to 9 : 8. Maya’s present age is
a) 30 years
b) 40 years
c) 24 years
d) 21 years
Answer »Answer: (a)
Let Maya’s present age be 6x years and Chhaya’s present age be 5x years.
After 15 years,
${6x + 15}/{5x + 15} = 9/8$
48x + 120 = 45x + 135
48x - 45x = 135 - 120
3x = 15 ⇒ x = 5
Maya’s present age = 6x
= 6 × 5 = 30 years
Question : 4
The ratio of present age of two brothers is 1 : 2 and 5 years back. the ratio was 1 : 3. What will be the ratio of their age after 5 years ?
a) 3 : 5
b) 5 : 6
c) 2 : 3
d) 1 : 4
Answer »Answer: (a)
Let the present age of brothers be x and 2x years.
Then, 5 years ago,
${x - 5}/{2x -5} = 1/3$
3x - 15 = 2x - 5
x = 15 - 5 = 10
Age of elder brother
= 10 × 2 = 20
Required ratio
= ${10 + 5}/{20 + 5} = 15/25$ = 3 : 5
Question : 5
Harsha is 40 years old and Ritu is 60 years old. How many years ago was the ratio of their ages 3:5?
a) 37 years
b) 5 years
c) 20 years
d) 10 years
Answer »Answer: (d)
Let x years ago the ratio of their age was 3 : 5
According to the question
${40 - x}/{60 - x}= 3/5$
200 - 5x = 180 - 3x
2x = 20
x = 10 years
GET ratio & proportion PRACTICE TEST EXERCISES
type 1 basic concepts of ratio & proportion
type 2 age based ratio & proportion problems
type 3 addition subtraction product on ratio & proportion
type 4 income & expenditure based ratio & proportion problems
type 5 shares & partnership based ratio & proportion problems
type 6 fractions based ratio & proportion problems
type 7 finding sum difference product based ratio & proportion problems
type 8 alligation & mixtures based ratio & proportion problems
type 9 coins & rupees based ratio & proportion problems
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