SOLUTION: A two -digit number is 6 more than the product of 7 and the sum of its digits. The number with the digits reversed is two more than the product of 3 and the sum of its digits. Wha

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Question 1175114: A two -digit number is 6 more than the product of 7 and the sum of its digits. The number
with the digits reversed is two more than the product of 3 and the sum of its digits. What
is the number?
Answer by Solver92311(821) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the 10s digit of the two-digit number and let represent the 1s digit of the number.

The number is then and the sum of the digits is . Since the number is six greater than seven times the sum of the digits:



The number with the digits reversed is and this is two greater than three times the sum of the digits, so:



Solve the 2X2 system for and

John

My calculator said it, I believe it, that settles it

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