Question

the ratio of two number is 5: 6 if both the number are decreased by 8 the ratio of the new number is 4:5 find this numbers​

Answer 1

Question: Two numbers are in the ratio 5:6. If 8 is subtracted from each of the numbers , the ratio becomes 4:5 find the numbers.

Answer:

the numbers are 40 and 48.

Step-by-step explanation:

Let us consider the two numbers are x and y

Given:

x/y = 5/6  

x × 6 = y × 5

6x – 5y = 0………………..(1)

If 8 is subtracted from each of the numbers then the ratio is 4:5.

x−8y−8=45

⇒ 5x – 40 = 4y – 32

Then the equation is

5x – 4y = 8……………….(2)

From equation (1)

x = 5y/6

Substituting value of x in equation (2)

5(5y/6) – 4y = 8

y = 48

Substitute the value of y in equation (1) we get

6x – 5(48) = 0  

6x = 240  

x = 40

Therefore the numbers are 40 and 48.