Question

Two number are in the ratio 3:5. If 9 subtracted from each the new number are in the ratio 12:23. find the number​

Answer 1

Answer:

When 9 subtracted from 3x and 5x, the ratio of the numbers becomes 12 : 23. ∴ The smaller number is 33 and the bigger number is 55 respectively.

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Answer 2

Answer:

The numbers are 33 and 55.

Step-by-step explanation:

Let the numbers be 3x and 5x

So,

Their Ratio will be 3 : 5

Now, according to the Question,

If 9 subtracted from each the new number are in the ratio 12:23

Then,

The new numbers will be 3x - 9 and 5x - 9

There ratio = 12 : 23

So,

(3x - 9) : (5x - 9) :: 12 : 23

We know that,

Product of extremes = Product of means

23 × (3x - 9) = (5x - 9) × 12

23(3x - 9) = 12(5x - 9)

69x - 207 = 60x - 108

69x - 60x = 207 - 108

9x = 99

x = 99/9

x = 11

Thus,

The numbers are,

3x = 3(11) = 33

5x = 5(11) = 55

Hence,

The numbers are 33 and 55.

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