Question

What are the two numbers whose sum is $58$ and difference is $28$?

Answer 1

Let $x$ and $y$ be two numbers such that $x>y$.

Now,

Sum of numbers $=58$

$\Rightarrow x+y=58.....\left(1\right)$

Difference of numbers $=28$

$\Rightarrow x-y=28.....\left(2\right)$

Adding equation $\left(1\right)\&\left(2\right)$, we have

$2x=86$

$\Rightarrow x=\frac{86}{2}=43$

Substituting the value of $x$ in equation $\left(1\right)$, we have

$43+y=58$

$\Rightarrow y=58-43=15$

Hence the two numbers are $43$ and $15$.
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