SOLUTION: The sum of two digits of a certain two-digit number is 15. If the digits are reversed, the number formed is nine less than the original number. What is the original number?
Algebra.Com
Question 1046928: The sum of two digits of a certain two-digit number is 15. If the digits are reversed, the number formed is nine less than the original number. What is the original number?
Answer by advanced_Learner(501) (Show Source): You can put this solution on YOUR website!
by guess work
87
because
87=78+9
and 8+7=15
by equations
you have
10y+x original number
x+y=15
10x+y=-9+10y+x
9x-9y=-9
x-y=-1
x+y=15
2x=14
x=
and y=15-7,y=}
RELATED QUESTIONS
The sum of two digits of a certain 2 digit number is 15. If the digits are reversed, the... (answered by josgarithmetic)
The sum of two digits of a two digit number is seven. If the digits are reversed, the new (answered by rapaljer)
The sum of a two digit number is 15 . If the digits are reversed , the number formed is... (answered by ankor@dixie-net.com)
the value of a certain two digit number is four less than six times the sum of its... (answered by I<3Math123)
The sum of the digits of a certain two-digit number is 10. If the digits are reversed, a... (answered by math_helper)
The sum of the digits of a certain
Two-digit number is 12. The number with
Digits... (answered by ewatrrr)
URGENT HELP: The sum of the digits of a two-digit number is 9. If the digits are... (answered by fcabanski)
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)
Five times the sum of the digits of a two-digit number is 13 less than the original... (answered by amarjeeth123)