# Eight times a two digit number is equal to three times the number obtained by reversing the order of its digits .if the difference between the digit is 5 ,find the number.

1
by deepak0021099

2014-08-17T23:05:40+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Let the number be  A B          its value is  10 A + B
Reverse of the number BA      it s value is  10 B  + A

given  8 * (10A +B) = 3 (10 B + A )
80 A + 8 B = 30 B + 3 A
77 A - 22 B =  0
7A - 2 B = 0            =>  2B =  7A

we know that B is between  0 and 9.    A is between 0 and 9
B and A are not zeros.

A has a factor 2  and B has a factor 7 for the above equation to be true. There is no other way.
There is only one such possibility :  A = 2  and  B = 7

The number is  27.
To solve this we do not need the second data, that is, difference between the digits is 5.  This information is not needed.

is not this a brainliest solution ?? click to say so