Find two numbers that different by 5, where the sum of the smaller one and four

Step-by-step explanation:

Let numbers be X and X+5,

now we know that sum of smaller and 4 times of larger number is 100..

So in equations we can write →

X + 4(X+5) = 100

X + 4X + 20 = 100

5X + 20 = 100

X = 80 ÷ 5

X = 16

So we got the smaller number = 16 ,

smaller number = 16 , Larger number = 16 + 5 = 24 .

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Okay, so we know she won 24 out of 36. We can make a ratio out of this.

We can now make a proportion since we know she will be playing another 27 matches.
36+27=63

X is the number of matches she'll win during the next 27 rounds.
Now we have to divide 63 by 36 to see what we need to multiply to get the numerator.
63÷36=1.75
Now multiply both the numerator and denominator to solve for x.
 × 
(we are allowed to multiply by this because it's a form of 1 and therefore both the numerator and denominator are being multiplied by the same number)
This equals 
So if you want to round you could say she will win at least 47, but it's kind of difficult to say she won 47 and a quarter because...well....how do you win a quarter of a game.
Hoped that helped haha :)