Question

5years ago, the age of father was 7 times the age of his son . After 5 years ,the age of the father will be 3 times the age of his son from now. How old are the father and his son now?

Answer 1

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Here's u go


Man = 40, Son = 10


Step-by-step explanation:

Define x:

Let x be the age of the son 5 years ago

The man = 7x


Find their present age now:

Son = x + 5

Man = 7x + 5


Find their age 5 years later:

Son = x + 5 + 5 = x + 10

Man = 7x + 5 + 5 = 7x + 10


Solve x:

The Man is 3 times as old as his son

7x + 10 = 3(x + 10)

7x + 10 = 3x + 30

4x = 20

x = 5


Find their present age:

Son = x + 5 = 5 + 5 = 10 years old

Man = 7x + 5 = 7(5) + 5 = 40 years old


Answer: The man is 40 and the son is 10 years old.

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