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a father is 28 years older than his son. in 3 years, the man will be 5 times as old as his son. find their present ages

1 Answer

1 vote

Answer:

son is 4 and father is 32

Explanation:

let son's age be s then father is s + 28

In 3 years

son is s + 3 and father is s + 28 + 3 = s + 31

At this time the father is 5 times as old as his son , that is

s + 31 = 5(s + 3) ← distribute parenthesis

s + 31 = 5s + 15 ( subtract s from both sides )

31 = 4s + 15 ( subtract 15 from both sides )

16 = 4s ( divide both sides by 4 )

4 = s

son's age is 4

father's age is 4 + 28 = 32

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