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Ravi's brother is 3 years elder to him. ...

Ravi's brother is 3 years elder to him. His father was 28 years of age when his sister was born while his mother was 26 years of age when he was born. If his sister was 4 years of age when his brother was born, the ages of Ravi's father and mother respectively when his brother was born were

A

35 years, 33 years

B

32 years, 29 years

C

35 years, 29 years

D

32 years, 23 years

Text Solution

Verified by Experts

The correct Answer is:
D

When Rajendra.s brother was born, let Rajendra.s father.s age = x and Rajendra.s mother.s age = y
According to the question
Rajendra.s sister.s age = `x - 28 = 4 .....(i)`
or, `x= 28 + 4 = 32 ... (ii) `
And Rajendra.s age `= y - 26`
Then, Rajendra.s brother. age
`= (y-26) + 3 = y - 23 ` [from (iii)]
or, `y = 23`
[ `because` when Rajendra.s brother was born, his age = 0 years]
So, `x = 32, y = 23 `
Therefore, father.s age = x = 32 years and mother.s age = y = 23 years.
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