SOLUTION: sum of the digits of a two digit number is 5.First digit is one greater than the second. Find the number.

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: sum of the digits of a two digit number is 5.First digit is one greater than the second. Find the number.       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 823364: sum of the digits of a two digit number is 5.First digit is one greater than the second.
Find the number.

Found 2 solutions by TimothyLamb, erica65404:
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
---
given a two-digit number:
---
x = Ones digit
y = Tens digit
---
x + y = 5
x = y + 1
---
put the system of linear equations into standard form
---
x + y = 5
x - y = 1
---
copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
answer:
x = Ones digit = 3
y = Tens digit = 2
the two-digit number is: 23
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php

Answer by erica65404(394) About Me  (Show Source):
You can put this solution on YOUR website!
If you would like more help from me, visit MathHelp.createaforum.com for unlimited free help and step by step solutions. You do not need to register for help.
-------------------------------------------------------------------------
the number is xy (x = ten's place and y = one's place).
x%2By=5
x=y%2B1
Use the guess and check method.
5%2B0=5
5=0%2B1
5=1
This is false so 50 is not the number.
4%2B1=5
4=1%2B1
4=2
This is false so 41 is not the number.
3%2B2=5
3=2%2B1
3=3
This is true so 32 is the number!