Question
The average of a set of 's' numbers is 35. If 90 is
added to the set, then the average of the set becomes 35.5. Find the value of '4 X (s - 15)'.Solution
Sum of all 's' numbers = 35s
ATQ:
(35s + 90) / (s + 1) = 35.5
Multiplying both sides by (s + 1):
35s + 90 = 35.5(s + 1)
35s + 90 = 35.5s + 35.5
90 - 35.5 = 35.5s - 35s
54.5 = 0.5s
s = 109
4 X (s - 15):
4 X (109 - 15) = 4 X 94 = 376
I. 2x2 – 19x + 45 = 0
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Equation 2: 19y² - 89y + 70 ...
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Equation 2: 17y² - 80y + 63 = 0
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Equation 1: 3x² + 6x - 9 = 0
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(i) 2x² – x – 3 = 0
(ii) 2y² – 6y + 4 = 0
I. 6p² + 17p + 12 = 0
II. 12q² - 25q + 7 = 0
I. Â 2(x+2)+ 2(-x)=5
II. Â (1/(y+1)+ 1/(y+5))=(1/(y+2)+ Â 1/(y+4))
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 41x + 400 = 0
Equation 2: y² - 41y + 420 = 0
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