SOLUTION: The sum of the digits of a two-digit number is 10. Of the digits are reversed, the new number is 36 more than the original number. Find the original number
Algebra.Com
Question 694693: The sum of the digits of a two-digit number is 10. Of the digits are reversed, the new number is 36 more than the original number. Find the original number
Answer by sachi(548) (Show Source): You can put this solution on YOUR website!
The sum of the digits of a two-digit number is 10.
let the ones digit is x then tens digit is 10-x
then the no is 10(10-x)+x........original no
If the digits are reversed,
the no is 10x+(10-x)...........new no
the new number is 36 more than the original number.
so 10x+(10-x)=36+10(10-x)+x
or 9x+10=136-9x
or 18x=136-10=126
or x=7 is the ones digit
so the tens digit ig 10-7=3
so the original number is 37
RELATED QUESTIONS
The sum of the digits of a two- digit number is 14. When the digits are reversed, the... (answered by oberobic)
The sum of the digits of a two-digit number is 14. When the digits are reversed, the new... (answered by lwsshak3)
The sum of the digits of a two-digit number is 14. When the digits are reversed, the new... (answered by mananth)
The sum of the digits of a two digit number is 14.
If the digits are reversed, the new... (answered by amarjeeth123)
The sum of a two-digit number is 13. If the digits are reversed, the new number is 9 more (answered by edjones)
The sum of a two-digit number is 13. If the digits are reversed, the new number is 9 more (answered by shahfaisal221090)
The sum of the digits of a two-digit number is 10. If the digits are reversed, the new... (answered by sachi)
The sum of the digits of a two digit number is 10. If the digits are reversed,the new... (answered by josgarithmetic,greenestamps)
A two-digit number is four times the sum of its digits. If its digits are reversed, the... (answered by josgarithmetic)