Question

The sum of the digits of a two digit number is 12. If 18 is added to it the digits are reversed. Find the number.​

Answer 1

Answer:

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Answer 2

Answer :

57

Solution :

Let, the digits be x and y.

Given,

Sum of digits = 12

x + y = 12 ----- equation 1

According to the problem,

10x + y + 18 = 10y + x

9x - 9y = -18

y - x = 2

y = 2 + x ------ equation 2

Substitute equation 2 in 1

x + 2 + x = 12

2x = 10

x = 5

From equation 2,

y = 2 + 5

y = 7

∴ The number = 57