Question

present age of father is 42 years and that of his son is 14 years. Find the ratio of
(a) Present age of father to the present age of son.
(b) Age of the father to the age of son, when son was 12 years old.
(c) Age of father after 10 years to the age of son after 10 years.
(d) Age of father to the age of son when father was 30 years old.

Answer 1

Hello

A. Present Age of father : Present age son
= 42:14
= 3:1
B. When son was 12 years old (2 yrs before)
So father was 40 years old.
=40:10
=4:1
C. Age after 10 years , 52 (father) 24 (son)
=52:24
=13:6
D. When father was 30 years old (12 yr ago)
But 12 years ago son was born
So Ratio is not possible or it is 0

Answer 2

Given :

Present age of father = 42 years

Present age of son = 14 years


Finding Ratios -

1)

Father's present age : son's present age

42 : 14

simplifying by 7


6 : 2

simplifying by 2

3 : 1

The Ratio is 3 : 1

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2)


Father's age : Son's age ( when son was 12 years old)

40 : 12

simplifying by 2

20 : 6

simplifying by 2

10 : 3

The Ratio is 10 : 3

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3)

Father's age after ten years : son's age after ten years

52 : 24

simplifying by 2

26 : 12

simplifying by 2

13 : 6


The Ratio is 13 : 6


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4)

Father's age : Son's age ( when father was 30 years)

30 : 2

simplifying by 2

15 : 1

The Ratio is 15 : 1.


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Hence : The Ratios are -

$\bold{(1) 3 : 1}$

$\bold{(2) 10 : 3}$

$\bold{(3) 13 : 6}$

$\bold{(4) 15 : 1}$