A number has two digits. Where sum is 9. if 27 is added to the number, its digits get interchanged. Find the number.
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Primary School Science 50 points
A number has 2 digits whose sum is 9 if 27 is added to the number its digits interchanged and find the number
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deepikakvvk06
Hi !
Let the digit in unit's place be y and the digit in the ten's place be x
Then the original no: would be 10x + y
given ,
x + y = 9 ----> [1]
also ,
10x +y + 27 = 10y + x
9x - 9y = -27
9(x-y) = -27
x -y = -27/9
x - y = -3 ----> [2]
Adding equations 1 and 2,
x + y = 9
x - y = -3
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2x = 6
x = 3
x - y = -3
3 - y = -3
y = 3 + 3 = 6
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The number is 10x + y
10 × 3 + 6 = 36
The no: is 36
here is the correct answer please mark me brainliest and give thanks
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Let the digit in unit's place be y and the digit in the ten's place be x
Then the original no. would be
given ,
also ,
10x +y + 27 = 10y + x
10x +y + 27 = 10y + x9x - 9y = -27
10x +y + 27 = 10y + x9x - 9y = -279(x-y) = -27
10x +y + 27 = 10y + x9x - 9y = -279(x-y) = -27x -y = -27/9
Adding equations 1 and 2,
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2x = 6
2x = 6x = 3
2x = 6x = 3x - y = -3
2x = 6x = 3x - y = -33 - y = -3
2x = 6x = 3x - y = -33 - y = -3y = 3 + 3 = 6
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The number is 10x + y
10 × 3 + 6 = 36
The no: is 36