The sum of two digit no. Is 12 if the new no. Formed by reversing the digits Is greator than the orginal no. By 54 find the original no.
Answers
Answered by
105
Correct Question :
- The sum of digits a two-digit number 12 . if the new number formed by reversing the digits is greater than the original number by 54 , find the original number .find the original number.
SoluTion :
- Sum of 2 digits of 2 digit number is 12 .
- The number formed by reversing the digits is 54 greater then the original number .
- We're supposed to find the original number = ?
- Let the original no. be 10x + y
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x + y = 12 ⠀⠀—eqn(i).
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- Let the number obtain by reversing the digits be 10 y + x.
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According to the question,
⠀⠀⠀⠀⠀⠀⠀
10y + x - ( 10x + y ) = 54
10y + x - 10x - y = 54
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9y - 9x = 54
9 ( y - x ) = 54
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y - x = 6 ⠀⠀⠀—eqn(ii).
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- Adding eq ( i ) and ( ii )
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x + y + y - x = 12 + 6
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2y = 18
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y = 9
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- Substituting value of x in eqn ( i )
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x + y = 12
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x + 9 = 12
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x = 12 - 9
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x = 3
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- Finding the no.
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10x + y
⠀⠀
10 x 3 + 9
⠀⠀
30 + 9
⠀⠀
39
Therefore,
- Original number is 39.
Vamprixussa:
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Answered by
107
- To calculate the original number,at first we have to set up equation with the help of given clue in the question then solve those equation:-]
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