Question

24. 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:

26

Step-by-step explanation:

no. is 8

then 8 + 18 = 26

Answer 2

Answer:

35

Step-by-step explanation:

let the digits be x and y. thus the number is 10x+y their sum is 8

thus x+y=8 if 18 is added digits are reversed. so we have

10x+y +18 =10y+x

=>9x -9y + 18 =0

=>9x-9y= -18

=>9(x-y) = -18

=>x-y = -2

so we get two equations that is

x+y= 8 .....1

x-y = -2 .....2

adding equation 2 with equation 1 we get

2x = 6

=> x= 3

so x is 3. now putting the value of x in equation 1, we get

x+y=8

=>3+y=8

=>y=5

x=3 y= 5

number was 10x+y. so number is 30+ 5= 35

thus digits are 3 and 5 and the number is 35.

verification 35+18= 53 that is digits are reversed. thus answer is 35

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