Question

Two numbers are in the ratio 4:5.If 30 is subtracted from each of the numbers, the ratio becomes 1:2. Find the numbers

Answer 1

let nos be 4x and 5x 
given 4x-30/5x-30=1/2
      5x-30=8x-60
    -30+60=8x-5x
       30=3x
so x = 10
nos are 4x = 40
            5x=50

Answer 2

Heya!Here is your answer friend ⏬
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$let \: the \: numbers \: be \: 4x \: and \: 5x \\ \\ \frac{4x - 30}{5x - 30} = \frac{1}{2} \\ \\ = > 8x - 60 = 5x - 30 \\ = > 8x - 5x = - 30 + 60 \\ = > 3x = 30 \\ = > x = 10$
Hence the numbers are

➡4×10= 40

➡5×10=50

Hence numbers are 40 and 50

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