SOLUTION: A two-digit number has a tens digit 1 greater than the units digit. The sum of the number and the number formed by reversing the digits is 77. Find the number. Is it 10(x + 1) + x

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: A two-digit number has a tens digit 1 greater than the units digit. The sum of the number and the number formed by reversing the digits is 77. Find the number. Is it 10(x + 1) + x      Log On

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Question 321399: A two-digit number has a tens digit 1 greater than the units digit. The sum of the number and the number formed by reversing the digits is 77. Find the number.
Is it 10(x + 1) + x + 10(x) + x + 1 = 77: How is it written? Thank you.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
the number is 10t + u

t = u + 1

10t + u + 10u + t = 77 ___ 11t + 11u = 77 ___ t + u = 7

substituting ___ (u + 1) + u = 7 ___ u = 3

substituting ___ t = (3) + 1 = 4

the number is 43