Tick (✓) the correct answer


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


(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 .


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