A number consits of two digit whose sum is 8.If 18 is added to the mumber, its digits are interchanged. The number is
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madhuspeaks
Secondary School Math 5+3 pts
A number consists of two digits whose sum is 8. If 18 is added to the number its digits are reversed. Find the number.
Report by Neha611 25.05.2018
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tejasri2
Tejasri2Ace
Hi Friend !!
Here is ur answer ,,,
Let the numbers be x and y
then the number be 10x+y
Sum of digits = 8
x+y = 8 _______(1)
Its reversed number = 10y + x
when 18 added to the number its digits are reversed .
10x+y+18 = 10y+x
10x - x + 18 = 10y - y
9x + 18 = 9y
9y - 9x = 18
y-x = 18/9
y-x = 2 ________(2)
From (1) and (2)
2y = 8+2
y = 10/2
y = 5
x+y = 8
x+5 = 8
x = 8-5
x = 3
So, the number ,,
= 10x+ y
= 10(3)+5
= 30+5
= 35
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