SOLUTION: The difference of the digits of a 2-digit number is 5. If the digits are reversed, the new number is 7 greater than twice the original number. What is the units digit of the origin
Algebra.Com
Question 426896: The difference of the digits of a 2-digit number is 5. If the digits are reversed, the new number is 7 greater than twice the original number. What is the units digit of the original number?
Answer by mananth(16949) (Show Source): You can put this solution on YOUR website!
y-x =5
10y+x= 2(10x+y)+7
10y+x=20x+2y+7
8y-19x=7
-x+y=5 .............1
-19x+8y=7.............2
multiply (1)by -8
Multiply (2) by 1
8x-8y=-40
-19x+8y=7
Add the two equations
-11x = -33
/-11
x= 3
plug value of x in (1)
-x+y=5
-3+y=5
y=5+3
y=8
The number is 38
RELATED QUESTIONS
The difference of the digits of a 2-digit number is 5. If the digits are reversed, the... (answered by lwsshak3)
Sum of two digits of a 2-digit number is 7. If the digits are reversed, the new number so (answered by ankor@dixie-net.com,ikleyn)
The units digit of a certain number is one greater than twice the tens digit. If the... (answered by robertb)
if the digits of the two digit number are reversed in such a way that the new number is... (answered by ankor@dixie-net.com)
The sum of the digits of a two-digit number is 13. If the digits are reversed, the
new... (answered by ankor@dixie-net.com)
the sum of the digits of a two digit number is twice the units digit.. if the digits of... (answered by MathTherapy,solver91311)
The units of a certain number is one greater than twice the tens digit. If the digits are (answered by jorel1380)
A number is 7 times the sum of its digits. If the digits are reversed, the new number is... (answered by Fombitz)
9) Twice the tens digit of a number increased by the units digit is 22. If the digits are (answered by mananth)