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Suma is 15 years older than Vivek. Three years from now, Suma’s age will be 8 times that of Vivek’s age 3 years back. What is the present age of Vivek?

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3 years

6 years

16 years

17 years

answer is B.

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Detailed Solution

Concept-
Step 1: First, we must set Vivek's current age to x years.
Given that Suma is 15 years older than Vivek in the question
Suma's age at this time is

(x + 15)

years.
Step 2: We now need to apply the expression (A) from the solution suggestion.

\Rightarrow (x + 15) + 3 = 8 (x - 3)

Next, simplify the resulting expression.

\Rightarrow x + 18 = 8 x - 24 \Rightarrow 8 x - x = 24 + 18 \Rightarrow 7 x = 42 \Rightarrow x = 6

Step 3: Consequently, Vivek will be = x=6 years old at this time.
Suma will be 21 years old at his current age

(x + 15) ((6 + 15))

Final answer: Thus, Vivek is currently 6 years old.
So, the answer (2) is the proper one.

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