Question

Quantities a 2 10 b are in a continued proportion; find values of a and b.​

Answer 1

Answer:

2/5

is right answer

Step-by-step explanation:

Mark me brilliant answer

Answer 2

Correct question!

Quantities a, 2, 10 and b are in continued proportion; find values of a and b.

Solution!!

The concept of ratio and proportion has to be used here. The quantities which are in continued proportion are given in the question. We have to find the value of the variables "a" and "b".

a, 2, 10 and b are in continued proportion.

=> $\sf \dfrac{a}{2}=\dfrac{2}{10}=\dfrac{10}{b}$

=> $\sf \dfrac{a}{2}=\dfrac{2}{10}$ and $\sf \dfrac{2}{10}=\dfrac{10}{b}$

=> $\sf a=\dfrac{2}{10}\times 2$ and $\sf b=\dfrac{10}{2}\times 10$

=> a = 0.4 and b = 50

Some important properties of proportion:-

→ Invertendeno

If a : b = c : d then b : a = d : c.

→ Alternendo

If a : b = c : d then a : c = b : d.

→ Componendo

If a : b = c : d then a+b : b = c+d : d.

→ Dividendo

If a : b = c : d then a-b : b = c-d : d.