Question

A two digit number is 45 greater than the number, if it's digits are interchanged & 10th place is 2 greater than Twice of unit digit find the original number
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Answer 1

Step-by-step explanation:

Let the digit in the units place be x

Hence the digit in the tens place is (x+5)

The original number =10(x+5)+x=11x+50

Number formed by reversing the digits =10x+(x+5)=11x+5

Given that:- (11x+50)+(11x+5)=99

⇒22x+55=99

⇒22x=99−55=44

⇒x=2

∴ Original number =11x+50=11(2)+50=72

Hence the original number is 72.

Hence the correct answer is 72.