1
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Question

# Salma's age is five times the age of Sima.The sum of their ages is 12. Find the ages of both Sima and Salma.

A
3, 15
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B
2, 10
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C
3, 16
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D
6, 16
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Solution

## The correct option is B 2, 10Let the age of Sima be x years. So, the age of Salma will be 5x years. According to the question, we have, Sum of ages of both the girls = 12 5x + x = 12 6x = 12 If x = 1, 6x=6×1=6≠12 If x = 2, 6x=6×2=12 The value of x = 2 holds good for the equation. Therefore, Sima’s age is 2 years. And, Salma’s age = 5x = 5×2 = 10 years

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