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The age of a man is same as his wife's age with the digits reversed. The sum of their age is 99 and the man is 9 years older than his wife. How old is the man.

asked 2019-06-23 11:44:04 -0500

Gayathri gravatar image

The age of a man is same as his wife's age with the digits reversed. The sum of their age is 99 and the man is 9 years older than his wife. How old is the man.

Options: (a) 50 (b) 49 (c) 54 (d) 44

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And is option c

ELUMALAI gravatar imageELUMALAI ( 2019-06-23 22:45:24 -0500 )edit

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answered 2019-06-24 00:30:46 -0500

Let,
Man's age = x and Wife's age = y
Eq.1: x + y = 99
Eq.2: x = 9 + y

Replace x value in Eq:1 x + y = 99
9 + y + y = 99
2y = 99 - 9
2y = 90
y = 45

Now, add y value in Eq:2 x = 9 + y
x = 9 + 45
x = 54
Man is 54 years old
Answer : option C

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Asked: 2019-06-23 11:44:04 -0500

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Last updated: Jun 24