Question

18) If the ratio of three numbers are 4:5:6 and their sum is 120 , then the
numbers are *
O 32, 40 & 48
O 24,30 & 36
0 28,35 & 42
0 20,25 & 30​

Answer 1

Answer:

There are several ways to approach a problem like this one, but my personal favourite is as follows:

Since 3:7 is a ratio which essentially represents numbers that are of a bigger value, we can say that the two numbers can be denoted as 3n and 7n, where n is a variable that we will find from the given information.

Since the sum of the numbers is 120, we can say that:

3n+7n=120

10n=120

n=12

Now that we have established this, we can just go back and substitute the value of n into 3n:

3n = 3*12

= 36

Therefore, the smaller number is 36. This can also be double checked by finding the value of the other number and seeing if it adds up to 120.

7n = 7*12

= 84

84+36 = 120

This way, we have double checked our answer to ensure it is correct.

I hope this helped, and I also hope you are able to apply this to similar problems!

Answer 2

Answer:

"a" 32,40,48

Step-by-step explanation:

4x+5x+6x=120

15x=120

x=120/15

x=8

now put the vale of x in eq.