Question

. A number consists of two digits whose sum is 12. If 18 is added to the number, the digits are reversed. Find the number.

Answer 1

Answer:

Let the two digits number be 10y+x.

where x and y are two digits

When number is reversed it becomes 10x+y

Sum of two digits =x+y

Then, the equations formed are

10y+x−18=10x+y

y−x=2 (1)

Also, x+y=12 (2)

Adding equation (1) and (2), we get

x=5 and y=7

Hence, the number is 75.

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Answer 2

Step-by-step explanation:

The solution can be obtained by letting x be the 'tens digit', and y be the unit digit, so that the original number is 10x+y. Then 10x+y+18=10y+x, because the digits are reversed. This simplifies to 9x+18=9y, or x+2=y.

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