Question

The sum of a two digit numbers is 7. If we add 45 to the number,the digits are interchanged.Find the number.

Answer 1

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Lets the ones place digit and tens place digit X and y .

Number formed - 10x + y

After interchanging - 10y+x

According to question ,

10x+y+45 = 10y+x

9y -9x = 45

y-x = 5 .

Now add , x+y = 7and y-x = 5 .

y = 6 and X= 1.

Now the number will be 16 .

Answer 2

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Lets the ones place digit and tens place digit X and y .

Number formed - 10x + y

After interchanging - 10y+x

According to question ,

10x+y+45 = 10y+x

9y -9x = 45

y-x = 5 .

Now add , x+y = 7and y-x = 5 .

y = 6 and X= 1.

Now the number will be 16 .