Question

Two numbers are in the ratio is 5:8 and if 6 be subtracted from each of them then the reminders are in the ratio 1:2, then what are the numbers?

Answer 1

Answer:

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

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.

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Answer 2

Answer:

15,24

Step-by-step explanation:

Let the first number = 5x

And the Second Number = 8x

5x-6

8x-6

= 1

2

10x-12 = 8x-6

2x = 6

x = 3

5 x 3 = 15

8 x 3 = 24

Therefore, 15,24