Math, asked by jayathi1, 1 year ago

a number consists of two digits whose sum is 8 if 18 is added to the number its digits are reversed find the number I need it in one variable only

Answers

Answered by Thirumozhi
2

Answer:

hi !!!

Step-by-step explanation:

Let, one digit be x and other be 8-x as 8 is sum.

tens ones

Original number = 10x 8-x

Reversed number = 10(8-x) x

By question,

10x+(8-x) is the number. when 18 is added, it becomes reversed.

So,

10x+(8-x) + 18 = 10(8-x)+ x

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

9x + 26 = 80 - 9x

bringing variables to one side,

9x+9x = 80- 26

18x = 54

x = 54/18

x = 3

Therefore,

tens place = x = 3

ones place = 8-x = 8-3 = 5

So,

The two digit number is 35.

Hope this helps you !!!

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