## 1. A number consists of two digits whose sum is 8. If 18 is added to the number, its digits are reversed. Find the number

Question

1. A number consists of two digits whose sum is 8. If 18 is added to the number, its digits are reversed.
Find the number

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2 weeks 2021-09-14T05:17:59+00:00 1 Answer 0 views 0

Step-by-step explanation:

Hello Friend !

Let us assume that one of the digit of the two digit number is X, then problem the other number will be (8 – X)

From problem we get that, if we add 27 to the number the digits get interchanged and also since the number is a two digit number then X will in tens place (7 – X) will be in ones place.

So the equation we get

10X + (8 – X) + 18 = 10(8 – X) + X

10X + 8 – X + 18 = 80 -10X + X

9X + 26 = 80 – 9X

9X + 9X = 80 – 26

18X = 54

X = 54/18

X = 3,

So the digit in tens place = 3 the digit in ones place is (8 – 3 = 5) , then the number is 35 and when 18 is added the result is 53, the digits interchange their position in the new number.

Ans: 35.