Q89 of 107 Page 104

The sum of two consecutive multiples of 2 is 18. Find the numbers.

Let the two consecutive multiples of 2 be 2x and 2x + 2.


According to the question,


2x + 2x + 2 = 18


⇒ 4x + 2 = 18


⇒ 4x = 18 – 2


⇒ 4x = 16


⇒ [dividing both sides by 4]


Hence, the required numbers are 2x = 2× 4 = 8 and 2x + 2 = 2 × 4 + 2 = 8 + 2 = 10.


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