Question

what number must be added to each of the number 9,13,14,5 to get the numbers are in proportion?​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

6 + x/15 + x = 20 + x/43 + x

⇒ (6 + x)(43 + x) = (20 + x)(15 + x)

⇒ 258 + 49x + x2 = 300 + 35x + x2

⇒ 14x = 42

x = 3

∴ The required no is 3.

(ii) Let x be the number added to 5, 11, 19, 37

5 + x/11 + x = 19 + x/37 + x

Applying componendo and dividendo rule,

5 + x + 11 + x/5 + x – 11 – x = 19 + x + 37 + x/19 + x – 37 – x

16 + 2x/- 6 = 56 + 2x/- 18

3(16 + 2x) = 56 + 2x

6x – 2x = 56 – 48

4x = 8

x = 2