Question

11. Two numbers are in the ratio 4:5. If 5 is added to each number, the ratio becomes 13:16. Find the numbers.
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Answer 1

Answer:

60, 75

Step-by-step explanation:

Let the original numbers be 4x & 5x respectively.

After the addition of 5, the numbers become 13x & 16x.

According to the question,

$\frac{4x + 5}{5x + 5} = \frac{13x}{16x}$

$\frac{4x + 5}{5x + 5} = \frac{13}{16}$

16(4x + 5) = 13(5x + 5)

64x + 80 = 65x + 65

64x - 65x = 65 - 80

-x = -15

x = 15

So, the original numbers are 4x = 4 X 15 = 60 , and

                                                5x = 5 X 15 = 75

PLEASE MARK BRAINLIEST...