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.