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If the overall average of first 20 multiples of two numbers is 924, what is the average of the two numbers?1). 762). 443). 884). 80 |
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Answer» LET the numbers be ‘X’ and ‘y’ Sum of first 20 multiples of x = x(1 + 2 + … + 20) = (x × 20 × 21)/2 = 210x Sum of first 20 multiples of y = y(1 + 2 + … + 20) = (y × 20 × 21)/2 = 210y Their average = (210x + 210y)/40 ⇒ 924 = 21(x + y)/4 ⇒ x + y = 176 ∴ Average of the two numbers = (x + y)/2 = 176/2 = 88 |
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