Question

mes the age of his son. If age of father is five times that of his
14. One year ago, the ratio between Samik's and Ashok's age was 2 : 3. One year hence, the ratio of
ther age will be 5 : 7. What is the sum of their present ages in years ?
15. Phe sum of the present ages of mother
son now, find the present age of father and son.​

Answer 1

Answer:

see the answer with full explanation ⬇️

Step-by-step explanation:

One year ago the ratio between Samir and Ashok’s age was 4:3,

Let the present ages of Samir and Ashok be x and y

One year ago their ages were Samir x- 1 and Ashok y - 1. The ratio of their ages was 4/3.

(x - 1) / (y - 1) = 4 / 3

3 (x - 1) = 4 (y - 1)

3x - 3 = 4y - 4

3x = 4y - 4 + 3

3x = 4y - 1

Multiply the equation with 4

12x = 16y - 4 …Eq..1

One year hence the ratio of their ages will be 5:4

One year hence their ages, Samir x + 1 and Ashok y + 1. The ratio between their ages will be 5/4.

(x + 1) / (y + 1) = 5 / 4

Cross multiplication

4 (x + 1)= 5 (y + 1)

4x + 4 = 5y + 5

4x = 5y + 5 - 4

4x = 5y + 1

Multiply the equation with 3

12x = 15y + 3…Eq..2

Now equating Eq ..1 and Eq..2

16y - 4 = 15y + 3

16y - 15y = 3 + 4

y = 7

Ashok age is 7 years

Now putting the value of y in Eq…1

12x = 16y - 4

12x = 16 × 7 - 4

12x = 112 -4

12x = 108

x = 108 / 12

x = 9

Samir age is 9 years

Samir’s present age is 9 years and Ashok’s present age is 7 years.

The sum of their present ages is 9 + 7 = 16 years.

Answer : The sum of their present ages is 16 years.

HOPE THIS HELPS.