Math, asked by mayank681753, 8 months ago

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Answered by TheEagle887
0

Answer:

the answer is 72

7+2 = 9

hope this helps you

Answered by Anonymous
6

GIVEn

Sum of a two digit number is 9. The number obtained by interchanging the digit exceeds the given number by 27

TO FINd

Find the original number

SOLUTIOn

Let the tens digit be x and ones digit be y

  • Required number = 10x + y

  • Number obtained by interchanging the digit = 10y + x

According to the given condition

  • x + y = 9 --(i)

The number obtained by interchanging the digit exceeds the given number by 27

→ 10y + x = (10x + y) + 27

→ 10y + x = 10x + y + 27

→ 10y - y + x - 10x = 27

→ 9y - 9x = 27

→ 9(y - x) = 27

→ y - x = 27/9

→ y - x = 3 --(ii)

Add both the equation

(x + y) + (y - x) = 9 + 3

→ x + y + y - x = 12

→ 2y = 12

→ y = 12/2 = 6

Put the value of y in eqⁿ (ii)

→ y - x = 3

→ 6 - x = 3

→ x = 6 - 3

→ x = 3

∴ x = 3 & y = 6

Hence, the required number

10x + y

10*3 + 6 = 30 + 6 = 36

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