Question

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A father's age is three times the sum of the ages of his two children.
After 5 years, his age will be two times the sum of their ages. Find the present age of the father.

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Answer 1

A father's age is three times the sum of the ages of his two children.After 5 years, his age will be two times the sum of their ages. Find the present age of the father.

Let the age of father =x years

The sum of the age of 2 children =y years

According to the first condition

⇒x=3y ㅤㅤㅤㅤㅤeq1

After 5 years

⇒ Father's age =x+5

⇒ The sum of ages of his two children =y+10

According to the second condition

⇒x+5=2(y+10)⇒x+5=2y+20

⇒x−2y=15ㅤㅤㅤㅤeq2

Put the value of x from eq1

⇒3y−2y=15⇒y=15

Put y=15 in eq1

⇒x=3×15⇒x=45

Hence, father age =45 years.