Question

The sum of two consecutive even numbers is 86. The larger of the two is

(a) 46
(b) 36
(c) 38
(d) 44

Answer 1

$\begin{array}{l}\left(\text{d}\right)44\\ \text{Let the two consecutive even numbers be}x\text{and}(x+\text{2}).\\ \text{Then,}x+(x+2)=86\\ \Rightarrow 2x+2=86\\ \Rightarrow 2x=86-2\\ \Rightarrow x=\frac{\sout{8}{\sout{4}}^{42}}{{\sout{2}}_1}\\ \Rightarrow x=42\\ \therefore \text{The required numbers are 42 and}(\text{42}+\text{2}),\mathrm{i}.\mathrm{e}.,\text{44.}\end{array}$