SOLUTION: I need to solve this problem with a system of equations, not guess and check. A two digit number is four times the sum of its digits. If the digits are reversed, the new number is

SOLUTION: I need to solve this problem with a system of equations, not guess and check. A two digit number is four times the sum of its digits. If the digits are reversed, the new number is

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Question 306448: I need to solve this problem with a system of equations, not guess and check.
A two digit number is four times the sum of its digits. If the digits are reversed, the new number is 36 more than the original number. What is the original number?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
let the number be 10a+b
10a+b=4*(a+b)
10b+a=10a+b+36
a=4 b=8
original number =48
check
48=4*(4+8)
48=48
ok
84=48+36
84=84
ok

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