two numbers are in the ratio 5:6 if 8 is subtracted from each of number the ratio became 4:5 find the number no cheating ❌
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Let us consider the two numbers are x and y
Given:
x/y = 5/6
x × 6 = y × 5
6x – 5y = 0 (1)
If 8 is subtracted from each of the numbers then the ratio is 4:5.
x−8y−8=45
⇒ 5x – 40 = 4y – 32
Then the equation is
5x – 4y = 8……………….(2)
From equation (1)
x = 5y/6
Substituting value of x in equation (2)
5(5y/6) – 4y = 8
y = 48
Substitute the value of y in equation (1) we get
6x – 5(48) = 0
6x = 240
x = 40
Therefore the numbers are 40 and 48.
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