SOLUTION: The sum of the digits of two digits number is 9. If the units digit is 5 more than the ten's digit, What is the number?

Question 168664: The sum of the digits of two digits number is 9. If the units digit is 5 more than the ten's digit, What is the number?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
The sum of the digits of two digits number is 9. If the units digit is 5 more than the ten's digit, What is the number?
.
Let x = ten's digit
and y = unit's digit
.
From: "The sum of the digits of two digits number is 9." we get:
x + y = 9 (equation 1)
.
From: "the units digit is 5 more than the ten's digit" we get:
y = x+5 (equation 2)
.
Using the definition of 'y' from equation 2, substitute it into equation 1 and solve for 'x':
x + y = 9
x + x+5 = 9
2x + 5 = 9
2x = 4
x = 2 (ten's digit)
.
unit's digit:
y = x+5
y = 2+5
y = 7 (unit's digit)
.
The number is 27
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