Answers

2015-12-02T20:06:20+08:00
20 and 23
x+y= 43
x-y= 3

x= 43-3 = 40/2 =20
y= x+3 = 20+3 = 23

this is just my idea
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  • Brainly User
2015-12-03T01:22:08+08:00
Bigger number: x
Smaller number : y

Equation 1:
x + y = 43
y = 43-x

Equation 2:
x - y = 3

Solution:
Substitute 43-x to y in Equation 2:
x - (43 - x) = 3
x + (-43 + x) = 3  (Change the sign of each term of subtrahend, then
                              proceed to addition)
2x - 43 = 3
2x = 3 + 43
2x/2 = 46/2
x = 23  (The bigger number)

Substitute 23 to x in Equation 1:
x + y = 43
23 + y = 43
y = 43 - 23
y = 20  (the smaller number)

Answer:  The numbers are 23 and 20.

Check:
23 + 20 = 43
43 = 43

23 - 20 = 3
3 = 3

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