Question

The sum of a number of 2 digits and of the number formed by reversing the digits is 110 , and the difference of the digits is 6. Find the number.​

Answer 1

Answer:

Answer = 82,28

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Answer 2

Step-by-step explanation:

Let the digit in units place be x

and the digit in tens place be y

Then the number=10y+x

number formed by reversing=10x+y

by problem,

(10y+x)+(10x+y)=110

11x+11y=110

divide the equation by 11,then we get

x +y=10...….......(1)

x-y=6...............(2)

by solving the equation ,we get

2x=16(+y and -y get canaled)

x=16/2

x=8

substitute x value in equation (1)

8+y =10

y=10-8

y=2

substitute x,y value in (10y+x) and (10x+y),then we get

10×2+8

=20+8

=28

and

10×8+2

=80+2

=82

the numbers are 28 and 82