Question

hlo guyz
please solve these:)

Answer 1

64. Let the integers be (x-1),x,(x+1)
Acc to ques. , 5(x+1)² - 75 = 2{ x² + (x-1)²}
5x² + 10x - 70 = 4x² - 4x + 2
x² + 14x - 72 = 0
(x+18)(x-4) = 0
x = 4;-18 So, x = 4
(x+1)+(x-1) = 2x = 8

66. Taking 2^61 common ,
2^61 (1+2¹+2²+2³) = 2^61(15) = 2^61*3*5
The answer can't be 27 since there is only one 3,it can't be 17 since we don't have 17 , it can't be 100 as it requires two 5 .
So , the answer is 10 as we can make 10 by one 2 and one 5.