Question

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

Answer 1

Answer:

10  and  18

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.  

Answer 2

Step-by-step explanation:

Let first part be x

second part =28-x

ATQ

6/5*x=2/3*(28-x)

6x/5=56/3-2x/3

6x/5+2x/3=56/3

(18x+10x)/15=56/3

28x=56/3*15

x=(56*5)/28

x=10

28-x=28-10=18

lst part =10

2nd part =18