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The sum of digit of a two digit number is 15.If the number formed by reversing the digits is less than the original number by 27 .Find the original number

Posted by Hemaksh Kayal 7 years ago

CBSE > Class 08 > Mathematics

2 answers

Brahma Reddy 7 years ago

Above ans is correct?

0Thank You

Yogita Ingle 7 years ago

Let the number with two digits be 10x + y.
Sum of the digits is 15.
⇒ x + y = 15 --------- (1)
Number formed by reversing the digits = (10y + x)

(10x + y) - (10y + x) = 27
⇒ 9x - 9y = 27
⇒ x - y = 3 --------- (2)
Solving equations (1) and (2), we get x = 9 and y = 6.

Therefore, the original number is 10(9) + 6 = 96.

2Thank You

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CBSE > Class 08 > Mathematics