Question

The ratio of two numbers is 4:9. When 5 is subtracted from each of them ,the now 38. Find the numbers​

Answer 1

Given : The ratio of two numbers is 4:9. When 5 is subtracted from each of them the ratio is 3:8. Find the numbers

Need to Find : The numbers

Solution : According to the question here we are given that the ratio is 4:9 and 5 is subtracted from each of these ratios after which the ratio becomes 3:8. Let's follow the steps to get the answer.

Let the constant multiple be x

Now, according to the question:

The numbers are 4x and 9x

As we get to know that each of them is subtracted by 5. So,

1st number = 4x - 5

2nd number = 9x - 5

New ratio becomes 3:8

⇢ (4x - 5)/(9x - 5) = 3/8

⇢ 8(4x - 5) = 3(9x - 5)

⇢ 32x - 40 = 27x - 15

⇢ 32x - 27x = - 15 + 40

⇢ 5x = 25

⇢ x = 25/5

⇢ x = 5

Now, getting the numbers. Instead of x we need to put 5 and multiply with the constant.

1st number = 4x = 4(5) = 20

2nd number = 9x = 9(5) = 45

∴ The numbers are 20 and 45 respectively.