TWO,YEARS AGO,FATHER WAS THREE TIMESAS OLD AS HIS SON AND TWO YEAR HENCE,TWICE HIS AGE WILL BE EQUAL TO FIVE TIMES THAT OF HIS SON.FIND THEIR PRESENT AGES
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Question:TWO,YEARS AGO,FATHER WAS THREE TIMESAS OLD AS HIS SON AND TWO YEAR HENCE,TWICE HIS AGE WILL BE EQUAL TO FIVE TIMES THAT OF HIS SON.FIND THEIR PRESENT AGES
Answer:
Let us consider
Son’s age = X
Two years ago son’s age = X – 2
His Father’s age at that time = 3(X – 2)
Present age of Father = 3X – 6 + 2
The present age of Father = 3X – 4
Two years hence father’s age = 3X – 4 + 2
Two years hence father’s age = 3X – 2
Two years hence son’s age = X + 2
Given:
5 × (X + 2) = 2 × (3X – 2)
5X + 10 = 6X – 4
X = 14
Son’s present age X = 14 years.
Father’s present age = (3 × 14) – 4
Father’s present age = 38 years.
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