Question

What is the least number to be added to each term in the ratio 2:3 to make the ratio 9:10?​

Answer 1

Answer:

7x should be added to each number.

Step-by-step explanation:

Let Th numbers be 2x and 3x.

B.T.P,

2x+y/3x+y=9/10

20x+10y=27x+9y

-7x=-y

7x=y

y=7x.

Answer 2

The required least number to be added = 7

Step-by-step explanation:

Let x be the  least number to be added.

To find, the required least number to be added = ?

According to question,

∴ $\dfrac{2+x}{3+x} =\dfrac{9}{10}$

By crossmultiplication, we get

⇒ 10(2 + x) = 9(3 + x)

⇒ 20 + 10x = 27 + 9x

⇒ 10x - 9x = 27 - 20

⇒ x = 7

∴ The required least number to be added = 7

Thus, the required least number to be added to 7.