Question

A number consist of two digit and the sum of the digit is 12 .The digits are reversed (interchanged).If 18 is subtracted from the number. Find the number. ​

Answer 1

Answer:

Let one's digit number be x. Then,

Sum of two digits number = 8-x

Therefore, ten's digit number = 10 (8-x) +x

= 80-10x +x

=80-9x

Now,

number obtained by interchanging the digit

So, number formed = 10×x + (8-x)

= 10x +8- x

= 9x + 8

If 18 is subtracted from the number. then,

the number gets interchanged

According to the question

80 -9x -18 = 9x +8

62-9x = 9x +8

54 = 18x

3=x

Now,

we have to find the number

by putting the value of x, we get

Hence,

Number= 80-9×3

= 80-27

= 53

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