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Answer 1 · 2018-01-28T04:41:13

$25 and 18$

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,

$2x=50$
or $x$ = $cancel50^25/cancel2^1$ = $25$

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

Answer 2 · 2018-01-28T04:54:50

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

You can begin by writing this question algebraically.

$x + y = 43$

$y = x + 7$

We can combine these expressions.

$x + ( x + 7 ) = 43$

$2x color(red)(cancel(color(black)(+ 7)- 7)) = 43 color(red)(-7)$

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

$x = 18$

$y = x + 7$

$y = 25$

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