SOLUTION: In a positive number of two digits, the sum of the digits is 15. If the digits are interchanged, the number is increased by 9. Find the number.

Algebra.Com
Question 1161151: In a positive number of two digits, the sum of the digits is 15. If the digits are interchanged, the number is increased by 9.
Find the number.

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
In a positive number of two digits, the sum of the digits is 15. If the digits are interchanged, the number is increased by 9.
Find the number.
====================
Interchanging the digits of a 2-digit number changes the value by 9 times the difference between the digits.
---
Since it increases, the units digit is larger than the tens digit.
--->
u - t = 1
u + t = 15

RELATED QUESTIONS

In a positive number of two digits, the sum of the digits is 15. If the digits are... (answered by y6n3o9p4)
In A Positive Number Of Two Digits, The Sum Of The Digits Is 15. If The Digits Are... (answered by josgarithmetic,MathTherapy,Alan3354)
The sum of the digits of a two digit number is 15. If the digits are interchanged, the... (answered by chriswen,oberobic)
The sum of the two digits of a two-digit number is 12.If the digits are interchanged,the... (answered by Alan3354)
The sum of the digits of a two-digit number is 12. If the digits are interchanged, the... (answered by richwmiller)
A number is made of two consecutive digits but if the digits are interchanged. the... (answered by Edwin McCravy)
The sum of the digits of a two digits number is 11.if the digits are interchanged. The... (answered by Alan3354,solver91311,greenestamps)
The sum of the digits of a two-digit number is 11. If the digits are interchanged, the... (answered by Alan3354)
The sum of the digits of a two-digit number is 15. If the digits are reversed, the number (answered by KMST,mananth)