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
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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