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.
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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
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