Question

Divide 28 into two parts in such way that 6 / 5 of one part is equal to 2 / 3 part of other?

Answer 1

Let one part be x.  

Then other part = 28 - x

It is given 6/5 of one part = 2/3 of the other.  

⇒ 6/5x = 2/3(28 - x)  

⇒ 3x/5 = 1/3(28 - x)  

⇒ 9x = 5(28 - x)  

⇒ 9x = 140 - 5x

⇒ 9x + 5x = 140  

⇒ 14x = 140  

⇒ x = 140/14  

⇒ x = 10  

Then the two parts are 10 and 28 - 10 = 18.

Answer 2

Answer:

Step-by-step explanation:

Let one part be x.  

Then other part = 28 - x

It is given 6/5 of one part = 2/3 of the other.  

⇒ 6/5x = 2/3(28 - x)  

⇒ 3x/5 = 1/3(28 - x)  

⇒ 9x = 5(28 - x)  

⇒ 9x = 140 - 5x

⇒ 9x + 5x = 140  

⇒ 14x = 140  

⇒ x = 140/14  

⇒ x = 10  

Then the two parts are 10 and 28 - 10 = 18.