Question

What should be added to both 9 and 29 to produce numbers that are in the ratio 3:4?

a. 5
b. 7
c. 11
d. 14

Answer 1

To produce numbers that are in the ratio 3:4, add the same number to both 9 and 29. The number that needs to be added is 51.

Step-by-step explanation:

To find the values that need to be added to both 9 and 29 to produce numbers that are in the ratio 3:4, we can set up the following proportion:

(9 + x) / (29 + x) = 3/4

Cross-multiplying gives us: 4(9 + x) = 3(29 + x).

Simplifying the equation, we get: 36 + 4x = 87 + 3x.

Subtracting 3x from both sides, we have: x = 87 - 36.

Simplifying the equation further, we have x = 51.

Therefore, the number 51 should be added to both 9 and 29 to produce numbers that are in the ratio 3:4.