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Question
The sum of two consecutive multiples of 2 is 18. Find the numbers.
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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
⇒ `(4x)/4 = 16/4` ...[Dividing both sides by 4]
⇒ x = 4
Hence, the required numbers are 2x = 2 × 4 = 8 and 2x + 2 = 2 × 4 + 2 = 10.
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