A man is 7 times as old as his son now. four years later, he will be 4 times as old as his son. find their present age.
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Answered by
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Let his son be x years old.
.
Son = x
Man = 7x
.
4 years later:
Son = x + 4
Man = 7x + 4
.
4 years later, Man is 4 times as old as his son:
7x + 4 = 4(x + 4)
.
Solve x:
7x + 4 = 4(x + 4)
7x + 4 = 4x + 16
7x - 4x = 16 - 4
3x = 12
x = 4
.
Find their present age:
Son = x = 4
Man = 7x = 7(4) = 28
.
Answer: The man is 28 years old and his son is 4 years old.
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