Question

Separate 39 into two parts such that 4 times the smaller exceeds the larger number 6

Answer 1

39 is separated into two parts 9 and 30.

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.
`x + y = 39` ....(1)

4 times the smaller exceeds the larger number 6

i.e.
`4x - y = 6` ....(2)

Solving (1) and (2) by adding both equations,

`x + y+4x-y= 39+6`

`5x=45`

`x=9`

Substitute the value of x in equation (1),

`9+ y = 39`

`y=30`

The smaller part is 9 and the larger part is 30.

39 is separated into two parts 9 and 30.