# Question fff8c

Jan 28, 2018

$25 \mathmr{and} 18$

#### Explanation:

Let one number be $x$ and other number be $y$

Then, $x + y$ = $43$...........($1$)
and $x - y$ = 7.................($2$)

Add both the equations and we get,

$2 x = 50$
or$x$ = ${\cancel{50}}^{25} / {\cancel{2}}^{1}$ = $25$

Put the value of $x$ in any of the above two equations to get the value of $y$

Let's put it in equation $1$

$25 + y = 43$
or, $y = 43 - 25$ =$18$

Jan 28, 2018

The first number is $18$ and the second number is $25$.

#### Explanation:

You can begin by writing this question algebraically.

$x + y = 43$

$y = x + 7$

We can combine these expressions.

$x + \left(x + 7\right) = 43$

$2 x \textcolor{red}{\cancel{\textcolor{b l a c k}{+ 7} - 7}} = 43 \textcolor{red}{- 7}$

color(red)((cancel(color(black)(2))color(black)(x))/cancel(2) = color(black)(36/color(red)(2))#

$x = 18$

$y = x + 7$

$y = 25$

We can prove that $x = 18$ and $y = 25$ because $x + y = 43$, or $18 + 25 = 43$.