Four numbers are in proportion. The sum of the squares of the four numbers is 50 and the sum of the mean is 5. The ratio of first two terms 1:3. What is the average of the four numbers??
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Answered by
7
Answer:
3
Step-by-step explanation:
Given
Four numbers are in proportion. The sum of the squares of the four numbers is 50 and the sum of the mean is 5. The ratio of first two terms 1:3. What is the average of the four numbers?
Given
Now a : b : : c : d
a^2 + b^2 + c^2 + d^2 = 50
a + c = 5
a : b = 1 : 3 then c = 5 – 3 = 2
So 1 : 3 = 2 : d
So d = 6
Now a^2 + b^2 + c^2 + d^2
1^2 + 3^2 + 2^2 + 6^2 = 50
Therefore average of a,b,c and d
will be a + b + c + d / 4
= 1 + 3 + 2 + 6 / 4
= 12/4
= 3
So average of four numbers is 3
Answered by
0
Answer:
answer is 3 hope it helps
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