Math, asked by ksuprathiksai, 6 months ago

a number consists of two digits whose sum is 9. if 27 is subtracted from the number its digits are reversed find the number

Answers

Answered by dasguptadidhiti

Answer:

63.

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Answered by Anonymous

Let the units digit be x and tens digit be y.

$\\$

Original No. = 10y+x

New No. = 10x+y

$\\$

Given,

$\\$

Sum of digits = 9

x+y = 9 ..(1)

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Original No. -27 = New No.

10y+x - 27 = 10x+y

$\\\\$

Solving,

10y-y+x-10x = 27

9y-9x = 27

9(y-x) = 27

y-x = 3

x-y = -3 .. (2)

$\\\\$

Adding equation (1) and (2),

2x = 6

x = 3

$\\$

Substituting value of x in (1),

y = 6

$\\$

Original No. = 10y+x

Original No. = 60+3

Original No. = 63

$\\\\$

Hope it helps

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