Question

Question 89

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

Solution

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 [transposing 2 to RHS]⇒4x=16⇒4x4=164 [dividing both sides by 2]⇒x=4

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

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