Question

Two numbers are in the ratio of 4:5. When 6 is added to each term of the ratio , they form a new ratio 6:7. Find the numbers.

Answer 1

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Answer 2

Step-by-step explanation:

Let the original ratio be 4x and 5x.

4x + 6 / 5x + 6 = 6 / 7 (cross multiply)

7(4x + 6) = 6(5x + 6)

28x + 42 = 30x + 36

42 - 36 = 30x - 28x

2x = 6

x = 3

THE TWO NUMBERS ARE :

4x = 4 × 3 = 12

5x = 5 × 3 = 15

HOPE IT HELPS.............