The second of 2 numbers is 7 times the first. Their sum is 32. What are the numbers?

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Answer 1 · 2017-07-01T19:48:49

$x=4$
$y=28$

We'll start by assigning variables:

$x = 1st$ number
$y = 2nd$ number

If the $2nd$ number is $7$ times the first number, that means:

$y = 7x$

'Their sum is $32$ ' means:

$x+y=32$

Now, we substitute $y$ into the equation above:

$x+7x=32$

$8x=32$

$x=4$

To find $y$ , we'll plug $x$ into the first equation above.

$y=7(4)$

$y=28$