How old are they?

[psuresh1982]

A brother and sister have a combined age 98. The brother is now twice as old as his sister was when he was as old as she is now. How old are they?

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suresh

[smart_coder]

Brother = 56
Sister = 42

[psuresh1982]

hi smart coder,

Please leave your solution here.....

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suresh

[smart_coder]

Let Brother's present age = B
Let Sister's present age = S
Let present year ( like 2007) = P

B + S = 98 --- eq (1)

Sister age today = S
Year in which Brother's age was S = (P-B) + S
Sister's age in that year was = (P-B) + S - (P - S) = 2S - B

Hence B = 2[2S - B] ---eq (2)

Solving eq(1) and eq(2) we get B = 56 and S = 42