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A certain two digit number is …

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A certain two digit number is equal to 9 times the sum of its digits.If 63 were subtracted from the number the digits would be reversed.Find the number.

Posted by Priya Thadani 6 years, 11 months ago

CBSE > Class 08 > Mathematics

1 answers

Rashmi Bajpayee 6 years, 11 months ago

Let the ones place digit be y and tens place be x, then the number be 10x + y.

According to quesiton,

10x + y = 9(x + y)

=> 10x + y = 9x + 9y

=> 10x - 9x = 9y - y

=> x = 8y ..........(i)

Again according to second condition,

10x + y - 63 = 10y + x

=> 10 x - x + y - 10y = 63

=> 9x - 9y = 63

=> x - y = 7

Putting the value of x from eq. (i), we get

8y - y = 7

=> 7y = 7

=> y = 1

Putting the value of y in eq. (i), we get

x = 8 x 1 = 8

Therefore, the number is 10 x 8 + 1 = 81.

0Thank You

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