SOLUTION: The product of the two-digit number and its tens digit is 54. Find the number if the sum of the digits when added to the number gives a result of 36?

Question 164855: The product of the two-digit number and its tens digit is 54. Find the number if the sum of the digits when added to the number gives a result of 36?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Let the tens digit be A, the ones digit be B.
The number is then .
"The product of the two-digit number and its tens digit is 54."
1.
1.
"the sum of the digits when added to the number gives a result of 36"
2.
2.
From eq. 2,
2.

Subsitute this value into eq. 1 and solve for A.
1.

A negative value for A wouldn't make sense for this problem.
We'll only use the positive value.

From eq. 2,

The two digit number is 27.
.
.
.
Check your answer.
.
.
.
"The product of the two-digit number and its tens digit is 54."

"the sum of the digits when added to the number gives a result of 36"

Both statements are true.
It's a good answer.
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