Question

The difference between two numbers is $15.$Taking the smaller number as $x;$ find

$\left(i\right)$ the expression for larger number.

$\left(ii\right)$ the larger number, if the sum of these numbers is $71$

Answer 1

Difference of two numbers$=15$

Let smaller number$=x$

$\therefore$Second number$=x+15$

$\therefore$Larger number$=x+15$

If sum of two numbers$=71$

Then $x+x+15=71$

$\left(i\right)2x+15=71$

$\Rightarrow 2x=71-15=56$

$\Rightarrow x=\frac{56}{2}=28$

$\left(ii\right)$Larger number$=x+15=28+15=43$