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Two numbers are in the ratio 2:3 if 4 be subtracted from each they are in the ratio 3:5 the numbers are?
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Two numbers are in the ratio 2:3 if 4 be subtracted from each they are...




Given information:

Two numbers are in the ratio 2:3

If 4 be subtracted from each, they are in the ratio 3:5


Let the numbers be 2x and 3x:

Let the two numbers be 2x and 3x in the ratio 2:3.

Calculating the new ratios after subtracting 4:

After subtracting 4 from each number, the new numbers will be 2x-4 and 3x-4. The new ratio is given as 3:5.

Setting up equations:

From the given information, we can set up the following equations:

(2x-4)/(3x-4) = 3/5

Solving this equation will give us the value of x.

Solving the equations:

Cross multiplying the equation gives us:

5(2x-4) = 3(3x-4)

Solving this equation will give us the value of x.

Calculating the numbers:

Once we find the value of x, we can substitute it back into 2x and 3x to find the two numbers.

Explanation:

- We first set up the numbers in the given ratio and then subtracted 4 from each number to get the new ratio.
- By setting up the equations and solving them, we can find the value of x and then calculate the two numbers accordingly.


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Two numbers are in the ratio 2:3 if 4 be subtracted from each they are in the ratio 3:5 the numbers are?
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