Question

two numbers are in the ratio 4:5 if 4 added to each number then their ratio is 5:6 find the number​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

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Step-by-step explanation:

Let the two numbers be x and y.

When 4 is added to two numbers, the numbers become x + 4 and y + 4. Their ratio

(x + 4) / (y + 4) = 5 / 6

Cross multiplication

5 (y + 4) = 6 (x + 4)

5y + 20 = 6x + 24

5y - 6x = 24 - 20

5y - 6x = 4 …Eq..1

When 4 is subtracted from the two numbers, the ratio is 1 : 2.

When 4 is subtracted from the numbers, the numbers become x - 4 and y - 4. Their ratio

(x - 4) / (y - 4) = 1 / 2

Cross multiplication

(y - 4) = 2 (x - 4)

y - 4 = 2x - 8

y - 2x = 4 - 8

y - 2x = - 4

y = 2x - 4…Eq..2

Now putting the value of y from Eq..2 to Eq..1

5y - 6x = 4

5 (2x - 4) - 6x = 4

10x - 20 - 6x = 4

10x - 6x = 4 + 20

4x = 24

x = 24/4

x = 6

One number is 6

To derive the value of y, putting the value of x in Eq..2

y = 2x - 4

y = 2 × 6 - 4

y = 12 - 4

y = 8

Thus the two numbers are 6 and 8.