English, asked by sukhbir68, 1 year ago

the sum of the digit of a two digit number is 12 if the new number formed reversin the digit is greater than the original number by 54 find the original number check your solution

Answers

Answered by nikita8193
1
Given sum of the digits is 12
let the digit in ones place be x
and the digit in tens place be 12-x
The original number = 10(12-x)+ x = 120 - 9x
Number form by reversing the digits = 10x + (12-x ) = 9x+12
ACCORDING TO THE QUESTION
9x+12 = 120-9x +54
9x+12 ÷ 174-9x
18x = 174 - 12
18x = 162
x= 9
the original no. is 120 - 9x
= 120-9×9
=120-81 = 39
THE ORIGINAL NUMBER IS 39

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