Sunday

December 21, 2014

December 21, 2014

Posted by **joshua** on Tuesday, May 8, 2012 at 9:45am.

- Maths -
**Steve**, Tuesday, May 8, 2012 at 10:33amLet the number be ab

a+b=15

10b+a = 10a+b - 27

a + b = 15

-9a + 9b = -27

a + b = 15

a - b = 3

2a = 18

a=9

b=6

check: 69 = 96 - 27

- Maths -
**MathMate**, Tuesday, May 8, 2012 at 10:38amAnswering by logic and mental calculations:

Since the order of digits is not important (they will be reversed anyway), the only two-digit combinations that add up to 15 are (8,7) and (6,9).

(8,7) does not work because 87-78=9. Now try 96-69=27, which is obviously the answer.

- Maths -
**Bosnian**, Tuesday, May 8, 2012 at 10:53amWhen we have a two digit number, it can be expressed as :

10 a + b

In this case :

10 a + b = orginal number

The sum of the 2 digits is 15

a + b = 15 Subtract a to both sides

a - a + b = 15 - a

b = 15 - a

If you reverse the digits of 10 a + b, it will be :

10 b + a

10 b + a = orginal number - 27 Add 27 to both sides

10 b + a + 27 = orginal number - 27 + 27

10 b + a + 27 = orginal number

10( 15 - a ) + a + 27 = orginal number

150 - 10 a + a + 27 = orginal number

177 - 9 a = orginal number

Also

10 a + b = orginal number

10 a + 15 - a = orginal number

9 a + 15 = orginal number

177 - 9 a = 9 a + 15 Subtract 15 to both sides

177 - 9 a - 15 = 9 a + 15 - 15

162 - 9 a = 9 a Add 9 a to both sides

162 - 9 a + 9 a = 9 a + 9 a

162 = 18 a Divide both sides by 18

162 / 18 = a

9 = a

a = 9

b = 15 - a

b = 15 - 9 = 6

orginal number = 10 a + b = 10 * 9 + 6 = 90 + 6 = 96

**Answer this Question**

**Related Questions**

Maths - The digits of a three digit number are in AP&their sum is 15.The number ...

maths - the difference b/w a 3 digit number and the number formed by reversing ...

maths - Find the sum of all 3-digit positive numbers N that satisfy the ...

8th Grade Algebra - These are extra credit questions, and I just want to know ...

Math - Algebra - What is the linear equation that will represent the second ...

algebra - A number consists of two digits. The sum of twice the tens digit an 5 ...

math - A two digit number is such that two times the tens digit is three less ...

Algebra math. - 1) the sum of the digits of a two digit number is 9. The value ...

algebra - For every positive 2-digit number, x, with tens digit t and units ...

algebra word prob. - one more - The sum of the digits of a certain two-digit ...