Math, asked by jaykrishvara, 1 year ago

9. The digits of a 2-digit number differ by 5. If the digits are interchanged and the resulting number is added to the original number, we get 99. Find the original number.

Answers

Answered by TheUrvashi
8
HEYA@USER

HERE IS THE ANSWER

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Let us assume, the x and y are the two digits of a two-digit number.

Therefore, the two-digit number = 10x + y and reversed number = 10y + x

Given:
x - y = 5 -------------1

Also given:
10x + y + 10y + x = 99
11x + 11y = 99
x + y = 9 --------------2

Adding equation 1 and equation 2
2x = 14
x = 7

Therefore, y = x - 5 = 7 - 5  = 2
Therefore, the two-digit number = 10x + y = 10*7 + 2 = 72

HOPE IT HELPS YOU
Answered by 07MAHI
53
MARK AR BRAINLEIST !!!!
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