SOLUTION: A number is 7 times the sum of its digits. If the digits are reversed, the new number is 30 less than twice the original.

Algebra.Com
Question 1082461: A number is 7 times the sum of its digits. If the digits are reversed, the new number is 30 less than twice the original.
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
A and B are integers from 0-9.
Let the original number be .
The sum of its digits would be .
Digits reversed would be .
So,



1.
and


2.
Substituting from 1 into 2,



Solve for B, then use either equation to solve for A.

RELATED QUESTIONS

A two-digit number is three less than seven times the sum of its digits. If the digits... (answered by 24HoursTutor.com)
A two Digit number is three less than seven times the sum of its digits if the digits are (answered by mananth)
A two digit number is three less than seven times the sum of its digits. if the digits... (answered by stanbon)
Please heeelp. a two-digit number is three less than seven times the sum of its... (answered by josgarithmetic)
A number is 9 more than the sum of the digits. If the digits are reversed, the new... (answered by mananth)
A 2-digit number is one more than 6 times the sum of its digits. If the digits are... (answered by richwmiller)
A 2-digit number is one more than 6 times the sum of its digits. If the digits are... (answered by josgarithmetic,greenestamps)
a 2 digit number is equal to seven times the sum of its digits. if the digits are... (answered by htmentor)
The sum of the digits of a two-digit number is 7. If the digits are reversed,the new... (answered by ankor@dixie-net.com)