Question

The sum of the digits of a 2 digit number is 7. If we reverse the digits the number will be 54 more than the original number.What is thw original number?

Answer 1

THANKS FOR THE QUESTION !

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LET ,

UNIT'S DIGIT = X

TENS DIGIT = Y

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NO. WILL BE

10 Y + X

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EXPLAINATION

TAKE THE NO. 54

IT IS MADE BY

50 + 4

5*10 + 4

10 * TENS DIGIT + UNIT'S DIGIT

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IF THE NO. IS REVERSED

THE NO. :

10X + Y

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GIVEN :

SUM OF DIGITS = 7

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X + Y = 7

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BY THE CONDITION GIVEN :

10 Y + X + 54 = 10 X + Y

10Y - Y + 54 = 10X - X

9Y + 54 = 9X

9Y - 9X = - 54

DIVIDE BY 9

Y - X = -6

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Y + X = 7

Y - X = - 6

ADD THESE EQUATIONS , WE GET :

2Y = 1

Y = 1/2

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