Question

Tick (✓) the correct answer:
The sum of two numbers is 95. If one exceeds the other by 15, then the smaller of the two is
(a) 40
(b) 35
(c) 45
(d) 55

Answer 1

(a) 40

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{numbers}\mathrm{be}\mathrm{x}\mathrm{and}\mathrm{x}+15. \\ \therefore x+x+15=95 \\ \Rightarrow 2x+15=95 \\ \Rightarrow 2x=95-15 \\ \Rightarrow 2x=80 \\ \Rightarrow x=40 \\ \mathrm{The}\mathrm{smaller}\mathrm{number}\mathrm{is}40. \end{gathered}$$