Question

A number consists of two digits whose sum is 8. If 18 is added to the number its digits are
reversed. Find the number​

Answer 1

Answer:

35

Step-by-step explanation:

Let that number be 10x+y

According to the first condition,

x+y=8......(1)

According to the second condition,

10x+y+18=10y+x

= 9x-9y=-18

= x-y =-2......(2)

Adding (1) and (2),

x+y=8

+ x-y=-2

------------

2x = 6

Thus, x=3

Put value of x in equation (1)

x+y=8

3+y=8

y=5

Therefore,

10x+y = 10×3+5

= 30+5

=35.

Ans. The required number is 35.

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Answer 2

Step-by-step explanation:

Let the one number be x and another number be 8 - x.

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10x + (8 - x) + 28 = 10(8 - x) + x

10x + 8 - x + 18 = 80 - 10x + x

9x + 26 = 80 - 9x

9x + 9x = 80 - 26

18x = 54

x = 3

Therefore,

One number = x = 2

Other number = (8 - x) = 8 - 3 = 5

Therefore, required no. is 35.