Question 673937
Let x be the first number.
Let y be the second number.
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"One number (y) is (=) 9 more than ( + 9) other number (x)."
y = x + 9
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"sum of the numbers is 45."
x + y = 45
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So we have:
y = x + 9
x + y = 45
Use substitution:
x + y = 45
x + (x + 9) = 45
2x + 9 = 45 (combined like terms)
2x = 36 (subtracted 9 from both sides)
x = 18 (divided both sides by 2)
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Plug back in to find y:
y = x + 9
y = 18 + 9
y = 27
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Your numbers are 18 and 27.