SOLUTION: THE DIGIT AT TEN,S PLACE OF A TWO DIGIT NUMBER IS TWICE THE DIGIT AT THE ONE,S PLACE . IF THE SUM OF THIS NUMBER AND NUMBER FORMED BY REVERSING THE DIGIT IS 66. FIND THE NUMBERS?

Question 319076: THE DIGIT AT TEN,S PLACE OF A TWO DIGIT NUMBER IS TWICE THE DIGIT AT THE ONE,S PLACE . IF THE SUM OF THIS NUMBER AND NUMBER FORMED BY REVERSING THE DIGIT IS 66. FIND THE NUMBERS?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Let AB be your digit or numerically 10*A+B.
The reverse digit number is BA or numerically 10*B+A.
1.
.
.

2.
Substitute eq. 1 into eq. 2,

Then from eq. 1,

.
.
.
The original number is 24, the reverse number is 42.
RELATED QUESTIONS
In a three digit number digits at tens place is 0 and the digit at the hundreds place is... (answered by josmiceli)

The sum of the digits of a 2-digit number is 9. The digits are reversed and the new... (answered by meghraj)

The sum of two numbers is 63. If three times the smaller number is subtracted from the... (answered by ewatrrr)

WHEN TWICE A NUMBE R IS DECREASED BY 4, THE RESULT IS 236. WHAT IS THE NUMBER? (answered by rfer)

The number N of aluminum cans used each year varies directly as the numbe of people P... (answered by eggsarecool)

What number usually comes after 248 in sequence and the sum of that numbe Algebra... (answered by greenestamps,ikleyn)

Te ttal number of ornge football helmets ad blue football helmts is 44. If twice the... (answered by bam878s)

a quotient of a number and seven is the same as eleven less than four times the numbe.... (answered by mananth)

48℅ of the students in a school are boys. If the total numbe of students in the... (answered by josmiceli)

I need a tutor to help me with problem please below? The number N of aluminum cans... (answered by stanbon)