The sum of an uncle’s and his nephew’s ages is 46. Three years hence the uncle will be 3 times the nephew’s age. Find their present age.

# The sum of an uncle’s and his nephew’s ages is 46. Three years hence the uncle will be 3 times the nephew’s age. Find their present age.

1. A
36, 10

2. B
42, 5

3. C
25, 3

4. D
17, 8

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### Solution:

The sum of an uncle’s and his nephew’s age is 46.
…..(1)
After 3 years the age of uncle and nephew be x+3 and y+3

subtracting eq. (2) from (1)

the present age of the uncle is 36 and the present age of his nephew is 10
So, option 1 is correct.

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