Question

The number obtained by reversing
a two digit
number is 18 more than the original number
If the
the sum of its digits is 8, find the
number.​

Answer 1

Answer:

The number obtained by reversing a two digit number is 18 more than the original number. If the sum of its digits is 8.

Answer 2

let digits of no. be x and y

then, x+y=8

=>x=8-y (eq. 1)

Also, 10x+y+18=10y+x

=>9x+18=9y

=>x+2=y

=>x=y-2 (eq. 2)

substituting eq. 1 in eq. 2,we get

8-y=y-2

2y=10

y=5

x=3

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