Math, asked by pradeep9721, 1 year ago

The sum of a two digit number and the number formed by interchanging the digit is 132 .if 12 is added to the number ,the number becomes 5 times the sum the digit .find the number

Answers

Answered by sonuo2
3

let the number be xy=10x+y

the number obtained by interchanging the digits is yx=10y+x

From the given information, we have:

10x+y+10y+x=132

11x+11y=132

x+y=12. _1

Also we have:

10x+y+12=5(x+y)

5x-4y+12=0. _2

Multiplying 1 by4 we get:

4x+4y-48=0. _3

Adding 2 and 3 we get:

9x-36=0

x=4

so,y=12-4=8

Thus the number is48.

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