Question

The sum of digits of a 2digit no is 11.if 45is added to number its digit are reversed.find the number

Answer 1

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LET,

TEN'S DIGIT :

X

UNIT'SDIGIT :

Y

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GIVEN :

X + Y = 11 ....................,....1

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NUMBER CAN BE MADE BY :

10 * TEN'S DIGIT + UNIT'S DIGIT

10X + Y

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BY GIVEN CONDITION :

10X + Y + 45 = 10Y + X

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10X + Y + 45 = 10 Y + X

10X - X + Y - 10Y = -45

9X - 9Y = - 45

DIVIDE BY 9

X - Y = - 5 ................................ 2

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ADD 1 & 2

X + Y = 11

X - Y = - 5
________

2X = 6
..................................................................................

X = 6 / 2

X = 3

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X + Y = 11

3 + Y = 11

Y = 11 - 3

Y = 8

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NUMBER :

10X + Y

10 * 3 + 8

30 + 8

38

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HOPE IT WILL HELP U.......

THANKS AGAIN !