three numbers the ratio 3:5:7 and the average 60. find the smallest number?
Answers
Answered by
8
Given:
Ratio of three numbers is 3:5:7
The average of three numbers is 60
To find:
The smallest number.
Let the three numbers be, 3x, 5x, and 7x
Now,
Average= (Sum of given data)/number of given data
60 = (3x + 5x + 7x)/3
60*3 = 15x
180 = 15x
180/15 = x
12 = x
Thus, the value of x is 12.
Now the numbers are
3x = 3*12 = 36
5x = 5*12 = 60
7x = 7*12 = 84
Hence,
The smallest number is 36
Answered by
1
Question Given :
- three numbers the ratio 3:5:7 and the average 60. find the smallest number?
Required Solution :
Value given to us :
- three numbers the ratio 3:5:7
Assumptions :
- Let the Number be 3x , 5x , 7x
According to Question :
- 60 = [ 3x + 5x + 7x ] / 3
- 60 × 3 = 15x
- 180 = 15x
- x = 180 / 15
- x = 12
Putting Value at place of x :
- First Number = 3 × 12 = 36
- Second Number = 5 × 12 = 60
- Third Number = 6 × 12 = 72
Hence :
- .°. Smallest Number is 36
Similar questions