Question

5 years after the age of Jacob will be 3 times that of his son .5 years ago Jacobs age was 7 times that of his son . What are their present age

Answer 1

Let present age of Jacob=X

present age of his son=Y

5 years ago,

Age of Jacob=X-5

Age of his son=Y-5

Given,

Jacob's age=7(his son's age)

X-5=7(Y-5)

X-5=7Y-35

X=7Y-35+5=7Y-30

X=7Y-30......(i)

5 years later,

Jacob's age=X+5

His son's age=Y+5

Given,

Jacob's age=3(His son's age)

X+5=3(Y+5)

Substituting (i) in above statement

7Y-30+5=3Y+15

7Y-3Y=30+15-5

4Y=40

Y=10

Substituting above in (i)

X=7Y-30=7(10)-30

X=70-30=40

Therefore, present ages of Jacob and his son are as follows:

Jacob's age=X=40

His son's age=Y=10

✌️ hope it helps✌️❤️