The-unit-digit-of-a-two-degit-number-is-1-less-than-the-tens-degit-if-the-number-is-increased-by-8-and-then-divided-by-the-sum-of-the-digits-the-result-is-8-Find-the-number-

Question Number 168073 by pete last updated on 02/Apr/22

The unit digit of a two degit number is 1 less

than the tens degit . if the number is increased

by 8 and then divided by the sum of the

digits, the result is 8 . Find the number .

Answered by som(math1967) last updated on 02/Apr/22

10^{'} s d i g i t x

u n i t d i g i t = x - 1

n u m b e r = 10 x + x - 1 = 11 x - 1

11 x - 1 + 8 = 8 (2 x - 1)

7 + 8 = 5 x

x = 3

u n i t d i g i t = 3 - 1 = 2

n u m b e r i s 32 a n s

(32 + 8) \div (3 + 2) = 8

Commented by som(math1967) last updated on 02/Apr/22

I t h i n k s u m o f d i g i t s m e a n s

s u m o f d i g i t s o f o r i g i n a l n u m b e r

Commented by peter frank last updated on 02/Apr/22

thank you

Commented by pete last updated on 05/Apr/22

Thank you senior

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