If the difference of two numbers is 43 and the sum of the numbers is 13, what are the numbers?

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Answer 1 · 2018-07-27T13:34:48

numbers are #28, -15#

Let #x# & #y# be the numbers then

Condition 1:

#\text{difference of numbers x& y }=43#

#x-y=43\ ..........(1)#

Condition 2:

#\text{sum of numbers x& y }=13#

#x+y=13\ ..........(2)#

Adding (1) & (2) we get

#x-y+x+y=43+13#

#2x=56#

#x=56/2#

#x=28#

setting the value of #x# in (1), we get

#28-y=43#

#y=28-43#

#y=-15#

hence the **numbers are #28, -15#