Question

That two numbers are in ratio 2:3 if 9 is added to each they will be in ratio 3:4 find the numbers ?​

Answer 1

Answer:

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➺ Let the two numbers be 2x and 3x

➺ Let the ratio 3:4 be 3x and 4x

➺ According to the questions

2x + 9/3x + 9 = 3/4

=> 4(2x + 9) = 3(3x + 9)

=> 8x + 36 = 9x + 27

=> 36 - 27 = 9x + 8x

=> 36 - 27 = x

=> x = 9

➺ first number = 2 × 9 = 18

★ Second number = 3 × 9 = 27

➺ Hence, the numbers are 18 and 27.

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Answer 2

$\huge \underline \mathfrak \green{answer}$

Let their common ratio is x

then numbers will be 2x and 3x

when 9 is added to each they become (2x+9)and (3x+9)

so their ratio

_______❤______

(2x+9)/(3x+9)=3/4

8x+36=9x++27

x=36–27

x=9 so the original numbers will be

2x=2*9=18 and 3x=3*9=27

so their product will be

18*27=486