Question

The sum of the two-digit number is 8. If 18 is added to the value of the number,it's digit gets reversed. Find the number.

Answer 1

Answer:

The number is 62

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Answer 2

Answer:

the number is 35

Step-by-step explanation:

Let the number at units place be 'x' and at tens place be 'y' then,
x+y = 8 : (1)
10y+ x +18 = 10x +y : (2)
further solving equation (2) we have,
10y+x+18= 10x+y
=> 18-9x = - 9y
=> 18 = 9(x-y)
=> x-y = 2 : (3)
subtracting equation (3) from equation (1), we have.
x+y - (x-y) = 8-2
=> x+y -x +y = 6
=> 2y= 6
=> y = 3
Putting value of 'y' in equation (1), we get,
x+3=8
=> x = 5.
∴ The required number is 35.

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