Question

The ratio of two numbers is 2:3 and the difference between them is 21 . what are the numbers ? ​

Answer 1

Let, the two numbers be 2k and 3k respectively.

and, 3k - 2k = 21 (given)

or, k = 21

∴ First Number = 2k = 2(21) = 42

Second Number = 3k = 3(21) = 63

Hope It Helps :)

Answer 2

Answer :

• 42 and 63

Given :

• The Ratio of the two numbers is 2:3.
• The difference between them is 21.

To find :

• what are the numbers?

Solution :

⇒ Let's find the numbers. Let's create the equation first.

$\sf \longrightarrow 3x - 2x = 21$

$\sf \longrightarrow 1x = 21$

$\sf \longrightarrow x = \dfrac{21}{1}$

$\sf \longrightarrow x = \cancel{ \dfrac{21}{1} }$

$\sf \longrightarrow x = 21$

$\sf \therefore x = 21$

⇒ Now, the numbers are :

$\sf \rightarrow 2x = 2 \times 21 = 42$

$\sf \rightarrow 3x = 3 \times 21 = 63$

• Therefore, the numbers are 42 and 63.