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A number consist of 2 digits whose sum is 13. If 27 is subtracted from the nuumber the digits are reversed. Find the number?

Posted by Harshleen Kaur 6 years, 9 months ago

CBSE > Class 08 > Mathematics

1 answers

Gaurav Seth 6 years, 9 months ago

Take help from the similar question:

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

Solution:

Let us assume, x and y are the two digits of the two-digit number

Therefore, the two-digit number = 10x + y and reversed number = 10y + x

Given:

x + y = 9 -------------1

also given:

10x + y - 27 = 10y + x

9x - 9y = 27

x - y = 3 --------------2

Adding equation 1 and equation 2

2x = 12

x = 6

Therefore, y = 9 - x = 9 - 6 = 3

The two-digit number = 10x + y = 10*6 + 3 = 63

2Thank You

ANSWER

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Posted by Monika 8B 9 months ago

CBSE > Class 08 > Mathematics