1. There are 5 consecutive odd numbers. If the difference between the square of the average of the first two odd numbers and square of the average of the last two odd numbers is 492, what is the smallest odd number ?
Write Comment
Comments
By: anil on 05 May 2019 01.40 am
Let the five consecutive odd numbers = $$(x - 4) , (x - 2) , (x) , (x + 2) , (x + 4)$$ Average of first two numbers = $$frac{(x - 4) + (x - 2)}{2} = (x - 3)$$ Average of last two numbers = $$frac{(x + 4) + (x + 2)}{2} = (x + 3)$$ Acc. to ques, => $$(x + 3)^2 - (x - 3)^2 = 492$$ => $$(x^2 + 9 + 6x) - (x^2 + 9 - 6x) = 492$$ => $$6x + 6x = 12x = 492$$ => $$x = frac{492}{12} = 41$$ $$ herefore$$ Smallest odd number = $$x - 4 = 41 - 4 = 37$$
Terms And Service:We do not guarantee the accuracy of available data ..We Provide Information On Public Data.. Please consult an expert before using this data for commercial or personal use