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Q.

Father's age is three times the sum of ages of his two children. After 5 years, his age will be twice the sum of age of two children, then the age of father is,

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a

25 years

b

35 years

c

45 years

d

55 years

answer is C.

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Detailed Solution

We are given,
Father's age is three times the sum of ages of his two children.
After 5 years, his age will be twice the sum of the age of two children.
Let the age of the father is x and some of the age of two children is y years.
According to the question,
x = 3y

⟹ y = \frac{x}{3}

……(1)
x + 5 = 2(y + 10)
⟹ x + 5 = 2y + 20
⟹ x - 2y = 15
Substitute (1) in above equation, we get,

⟹ x - 2 (\frac{x}{3}) = 15

⟹ \frac{3 x - 2 x}{3} = 15

⟹ x = 45

The father’s age is 45years.
Hence, option 3 is correct.

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Father's age is three times the sum of ages of his two children. After 5 years, his age will be twice the sum of age of two children, then the age of father is,