Question

Which number is to be added to each of 2, 4, 6 and 10 to make the sums proportional?

Answer 1

Pls mark as brainliest. Hope the answer helps you.

Answer:

The number is 2.

Step-by-step explanation:

Let the required number m be added to each.

2 + m, 4 + m, 6 + m and 10 + m will become proportional.

Therefore,

(2 + m)(10 + m) = (4 + m)(6 +m)

⟹ 20 + 2m+ 10m + m² = 24 + 4m + 6m + m²

⟹ 20 + 12m + m²= 24 + 10m + m²

m² and m² will get cut.

⟹ 20 + 12m = 24 + 10m

⟹ 12m - 10m = 24 - 20

⟹ 2m = 4

⟹ m = 4/2

⟹ k = 2

Therefore, the required number is 2.