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.
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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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