Question

divide 34 into two part in such a way that 4/7 th of one part is equal to 2/5 th part of the other

Answer 1

Answer:

Let First part=x

then second part=34−x

According to the problem,(  

7

4

​

)  

th

 of First part=(  

5

2

​

)  

th

 of the second part.

⇒  

7

4

​

x=  

5

2

​

(34−x)

⇒  

7

4x

​

=  

5

68

​

−  

5

2x

​

 

⇒  

7

4x

​

+  

5

2x

​

=  

5

68

​

 

⇒  

7×5

4x×5

​

+  

5×7

2x×7

​

=  

5

68

​

 

⇒  

35

20x

​

+  

35

14x

​

=  

5

68

​

 

⇒  

35

20x+14x

​

=  

5

68

​

 

⇒x=14

Hence two parts are 14 and 34−14=20

∴ the first part is 14 and second part is 20

Answer 2

Answer:

14 and 20

Step-by-step explanation:

let one part be x

other part=34-x.

ATQ,

4x/7=2(34-x)/5

=4x/7=68-2x/5

=20x=476-14x

=34x=476

=x=14

34-x=20