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
Solution:
(a) 40
Let the numbers be $x$ and $x+15$.
$\therefore x+x+15=95$
$\Rightarrow 2 x+15=95$
$\Rightarrow 2 x=95-15$
$\Rightarrow 2 x=80$
$\Rightarrow x=40$
The smaller number is 40 .