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01-09-2017
Mathematics

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The difference of two numbers is 40. Their sum is 66. Find the numbers.

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apologiabiology apologiabiology

01-09-2017

first of all, x>y
x-y=40
and
x+y=66
add them equations together to eliminate

x-y=40
x+y=66 +
2x+0y=106

2x=106
divide by 2
x=53

sub back
x-y=40
53-y=40
minus 53 both sides
-y=-13
y=13

the numbers are 53 and 13

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01-09-2017

53-13 equals 40 and 13+53 is 66

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