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#