Tick (✓) the correct answer

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 .

 

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