The-tens-digit-of-a-two-digit-number-is-3-greater-than-the-units-digit-When-the-digits-are-reversed-the-number-is-reduced-by-27-what-is-the-number-

Question Number 41877 by Tawa1 last updated on 14/Aug/18

The tens digit of a two digit number is 3 greater than the units digit .

When the digits are reversed, the number is reduced by 27 .

what is the number ?

Answered by MrW3 last updated on 14/Aug/18

{l e t}^{'} s s a y t h e n u m b e r i s a b

a = b + 3

10 \times b + a = 10 \times a + b - 27

\Rightarrow 9 b = 9 a - 27

\Rightarrow 9 b = 9 (b + 3) - 27

\Rightarrow 0 = 27 - 27

t h i s i s t r u e f o r e v e r y p o s s i b l e d i g i t b,

i . e . b = 1, 2, 3, 4, 5, 6

s o t h e r e q u e s t e d n u m b e r i s o n e o f

41, 52, 63, 74, 85, 96

Commented by Tawa1 last updated on 14/Aug/18

God bless you sir

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