Question

a number consists of two digits whose sum is 8. if 18 is subtracted from the number' the digit interchange their place. find the numbers.​

Answer 1

Step-by-step explanation:

Your required answer is here...

Let the required number be 10x+y

Therefore, x+y = 8 -------1

If 18 is added then digits get interchanged.

i.e

10x+y+18=10y+x

10x-x+y-10y=-18

9x-9y= -18

x - y = -2 ------ 2 ( divide by 2)

Add equation 1 and 2

x + y = 8

+ x - y = -2

_________

2x = 6

x. = 3

Put the value of x in equation 1

3 + y = 8

y = 8 - 3

y = 5

The required number is

10x + y = 10×3+5= 30+5 = 35

Your answer is 35.

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