Question

A certain number cnsist of 2 digit .if 5 is added to the number and the result is divided by the units place digit the quotient is 6 .if 10 is substract from the number and the remai,der is divided by the sum of the digits the quotient is 3 what is the number

Answer 1

et unit place is y

and tens place is x of two digit number

number 10x+y

and reverse number will be

10y+x

as per given conditions

10x+y=3(x+y)+7

and

10y+x +7(x+y)+3

solving these equations

we can get as

7x-2y=7 i

-6x+3y=3 ii

by solving both equations elimination method

we will get

X=3

and Y=7

two digit number whose tens place is 3 and unit place is 7

two digit number is 37

answer 37