A is two years older than B who is twice as old as C. If the total of the ages of A, B, and C be 27, then how old is B?

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Solution

The correct option is C
10

Let C's age x years. Then, B's age = 2x years. A's age = (2x + 2) years

$∴$ (2x+2) + 2x + x = 27 $\Leftrightarrow$ 5x = 25 $\Leftrightarrow$ x = 5.

Hence, B's age = 2x = 10 years

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A is two years older than B who is twice as old as C. If the total of the ages of A, B, and C be 27, then how old is B?

The correct option is C 10 Let C's age x years. Then, B's age = 2x years. A's age = (2x + 2) years ∴(2x+2) + 2x + x = 27 ⇔ 5x = 25 ⇔ x = 5. Hence, B's age = 2x = 10 years

The correct option is C
10

Let C's age x years. Then, B's age = 2x years. A's age = (2x + 2) years

$∴$ (2x+2) + 2x + x = 27 $\Leftrightarrow$ 5x = 25 $\Leftrightarrow$ x = 5.

Hence, B's age = 2x = 10 years