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Question

Q25. The sum of the digits of a two digit number is 6. If 18 is subtracted from the number the digits will be reversed in the resultant number find the number.


A

(a) 42

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B

(b) 15

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C

(c) 51

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D

(d) 60

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Solution

The correct option is A

(a) 42


Let digit at unit place = x

Let digit at tens place = 6-x

Number = 10(6-x) + x

When 18 will be subtracted from the number digits will be reversed

10(6-x) + x-18 = 10x + (6-x)

60-10x + x – 18 = 10x + 6 – x

36 = 18x

X = 2

Digit at unit place = 2

Digit at tens place = 6-2 = 4

So number is 42.


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