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Q.

Roy is 11 years old and his uncle is 59 years old. How many years ago was Roy’s uncle 7 times as old as Roy?


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a

2 years

b

3 years

c

4 years

d

7 years

answer is B.

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Detailed Solution

Concept: Firstly, we’ll observe the relationship between the ages of Roy and his uncle to solve this problem and the convert the given information in algebraic equation.
Let the present age of Roy be = 11 years
Let the present age of Roy’s uncle be = 59 years
According to the given information, a few years ago Roy’s uncle was 7 times the age of Roy.
Let assume the few years be y.
So,
y years ago Roy age = 11 – yyears and his uncle age 
y years ago Roy age = (59 – y) years
59-y=7(11-y) 
6y=18
y=186
y=3
Hence, 3 years ago Roy’s uncle was 7 times as old as Roy.
 
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