Question

Question 89

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

Answer 1

Let the two consecutive multiples of 2 be 2x and 2x+2.
According to the question,
2x + 2x + 2 = 18
$\Rightarrow 4x+2=18\Rightarrow 4x=18-2\left[transposing2toRHS\right]\Rightarrow 4x=16\Rightarrow \frac{4x}{4}=\frac{16}{4}\left[dividingbothsidesby2\right]\Rightarrow x=4$
Hence, the required numbers are 2x = $2\times 4=8$ and 2x+2 = $2\times 4+2=10.$