SOLUTION: Problem 1. The sum of the digits of a two-digit number is 14. If the digits are reversed, the number is increased by 18. What is the number? .... Problem 2. One number is less th

Question 351154: Problem 1. The sum of the digits of a two-digit number is 14. If the digits are reversed, the number is increased by 18. What is the number?
....
Problem 2. One number is less than another number. The sum of the two numbers is four times their difference. What are the numbers?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Problem 1. The sum of the digits of a two-digit number is 14. If the digits are reversed, the number is increased by 18. What is the number?
------
Let the number be 10t+u
The reversed number is 10u+t
Equations:
t + u = 14
10u+t - (10t+u) = 18
---------------------------
Simplify the 2nd equation
t + u = 14
u - t = 2
---
Add to get 2u = 16
u = 8
Then t = 6
---
1st number: 68
....
Problem 2. One number is less than another number. The sum of the two numbers is four times their difference. What are the numbers?
---
Not enough information.
=============================
Cheers,
Stan H.

RELATED QUESTIONS
the sum of the digits of a two-digit number is 14. if the digits are reversed, the number (answered by mananth)

the sum of the digits of a two-digit number is 10. If the digits are reversed, the number (answered by Mathtut,josmiceli)

The sum of the digits of a two-digit number is 15. If the digits are reversed, the number (answered by KMST,mananth)

The sum of the digits of a two digit number is 10. If the digits are reversed, the number (answered by htmentor)

The sum of the digits of a two-digit number is 8. If the digits are reversed, the number... (answered by edjones)

The sum of the digits of a two digit number is 7. When the digits are reversed the value... (answered by fractalier,solver91311)

The sum of the digits of a two digit number is seven. When the digits are reversed,... (answered by checkley79)

The sum of the digits of a two-digit number is 7. When the digits are reversed, the... (answered by tmwilliamlin168)

Hi Tutor, please me help on the below 2 word problems 1. The sum of the digits of a... (answered by ankor@dixie-net.com)