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The combined present age of a girl’s parents is five times the girl’s present age. After 8 years, their combined age would be four time the age of the girl. What was the combined age (in years) of the parents when the girl was born?

The combined present age of a girl’s parents is five times the girl’s present age. After 8 years, their combined age would be four time the age of the girl. What was the combined age (in years) of the parents when the girl was born? Correct Answer 48

Concept used:

Mother and father both are called parents so in parents there are two members i.e mother and the father.

Calculation:

Let the combined present age of parents and the girl be x and y years respectively

Now, A/Q

x = 5y      ----(1)

After 8 years,

The combined age of parents = x + 8 + 8 = x + 16

The age of the girl = y + 8

Now, A/Q

x + 16 = 4(y + 8)

⇒ 5y + 16 = 4y + 32      ----(From eq (1))

⇒ y = 16 

After putting the value in eq (1), x = 80 years

The combined age of the parents when the girl born = 80 - 16 - 16 = 48 years

∴ The combined age of the parents when the girl born is 48 years

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