Answer:
10 and 13
Step-by-step explanation:
x + y = 23 . . . . . . the two numbers add up to 23
7(y -x) = 21 . . . . . 7 times their difference is 21
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Divide the second equation by 7:
y - x = 3
Add x:
y = 3 + x
Put that in the first equation in place of y
x + (3 +x) = 23
2x +3 = 23 . . . . . . . collect terms
2x = 20 . . . . . . . . . .subtract 3
x = 10 . . . . . . . . . . . . divide by 2
y = 3 +10 = 13 . . . . . .use the equation for y to find y
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1st number: 10
2nd number: 13
