Question

40. Father is 5 times as old as his son. After 6 years the age of father will be 18 times the age of his son 4
years ago. Find their present ages.​

Answer 1

Step-by-step explanation:

Age now:

Father’s age now: 5x

Son’s age: x

In 15 years:

The question tells us that in 15 years the father will be 2 times as old as his son.

So,

2(x+15) = Father’s age in 15 years

x+15 = Son’s age in 15 years

Now, we put them together:

2(x+15)=x+15

Apply Distributive Property to 2(x+15)

5x + 15 = 2x +30

5x+15–15=2x+30–15

5x=2x+15

5x-2x=2x-2x+15

3x=15

3x/3=15/3

x=5

Son’s age: 5

Father’s age: 25