Answer:
39 is separated into two parts 9 and 30.
Step-by-step explanation:
To find : Separate 39 into two parts such that 4 times the smaller exceeds the larger number 6 ?
Solution :
Let the smaller part is x and larger part is y.
39 is separate into two parts x and y
i.e. [tex]x + y = 39[/tex] ....(1)
4 times the smaller exceeds the larger number 6
i.e. [tex]4x - y = 6[/tex] ....(2)
Solving (1) and (2) by adding both equations,
[tex]x + y+4x-y= 39+6[/tex]
[tex]5x=45[/tex]
[tex]x=9[/tex]
Substitute the value of x in equation (1),
[tex]9+ y = 39[/tex]
[tex]y=30[/tex]
The smaller part is 9 and the larger part is 30.
39 is separated into two parts 9 and 30.
