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​

Answer 1

Answer:

two digit number = 63

Step-by-step explanation:

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

Answer 2

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