Math, asked by pujamalhotra81, 11 months ago

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Ex-1 Sum of the digits of a two digit number is 10. When we interchange
the digits, it is found that the resulting number is greater than the
original number by 36. Find the number.
P
RODI​

Answers

Answered by navy36
3

Step-by-step explanation:

Let the unit digit be y and tens digit be x

Number formed = 10x + y

Reverse number = 10y + x

x + y = 9 (Given)…………………………eq1

10y + x = 10x + y + 27…………………….eq2

9y - 9x = 27

y - x = 3……………………………………..eq3

Solving eq1 and eq3 ,we get

x = 3 and y = 6

Original Number = 36 Reversed Number = 63

You can crosscheck the answer by putting up the values obtained either in eq1 or eq2 or eq 3

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