The mean of 5 number is 34. These of are 29. 26, and 35, if the remaining two number are in the ratio 1:3 find the number?
- 35,45
- 20,60
- 10,40
- None of these
Explanation
The mean of 5 numbers is 34, so the sum of these 5 numbers is:
5 x 34 = 170
We know three of the numbers: 29, 26, and 35. Let's add them up:
29 + 26 + 35 = 90
Now, we need to find the sum of the remaining two numbers:
170 (total sum) - 90 (sum of known numbers) = 80
Since the remaining two numbers are in the ratio 1:3, let's assume the smaller number is x. Then, the larger number is 3x.
We know their sum is 80, so we can set up the equation:
x + 3x = 80
Combine like terms:
4x = 80
Divide by 4:
x = 20
Now that we know x, we can find the larger number:
3x = 3(20) = 60
So, the remaining two numbers are 20 and 60.
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