two-digit-number-is-seven-times-the-sum-of-its-digits-if-27-is-substracted-from-the-number-its-digits-get-interchanged-find-the-number-

Question Number 42479 by mondodotto@gmail.com last updated on 26/Aug/18

two digit number is seven times

the sum of its digits . if 27 is substracted

from the number its digits get interchanged .

find the number

Answered by $@ty@m last updated on 26/Aug/18

10 y + x = 7 (x + y) \Rightarrow y = 2 x \dots (1)

10 y + x = 10 x + y + 27

9 y = 9 x + 27

\Rightarrow y = x + 3 \dots (2)

F r o m (1) & (2)

2 x = x + 3 \Rightarrow x = 3

\Rightarrow y = 6

∴ t h e n o . i s 63

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