Question

the sum of the digits of a two - digit number is 11. When 27 is added to the number, we get a number with digits interchanged. Find the number. ​

Answer 1

Step-by-step explanation:

So, number = 10x + (11 - x) = 9x + 11

. Therefore (9x + 11) + 27 = 10 (11 - x) + x ⇔

9x + 38 = 110 - 9x ⇔

18x = 72

⇔ x = 4

. Thus, ten's digit = 4 and unit's digit = 7. Hence, required number = 47.

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