Question

the sum of digits of a two digit number is 15. the original number is reversed. the reversed number is greater than original number by 9. find the original number

Answer 1

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Answer 2

let 1 no. be x
and 2 be 15-x
now
orignal no = 10(x) + 15 -x
=9x +15
revers no = 10( 15 - x) + x
= 150 - 9x
according to ques
9x + 15 +9 = 150 - 9x
9x + 24 = 150 - 9x
9x + 9x = 150 - 24
18x = 126
x = 126/18
x = 7

original no. = 9x + 15
= 9 × 7 + 15
= 63 + 15
= 78