Problems on Numbers:
1. The product of 3 even consecutive numbers when divided by 5 is 335. The product of their square roots is:
Solution:
Let the numbers be x, x+2 and x+4.
x(x+2)(x+4) / 5 = 335
x(x+2)(x+4) = 1675
[ x(x+2)(x+4) ]1/2 = 5(67)1/2
2. The sum of the three consecutive multiples of 5 is 375. What's the middle number?
Solution:
Let the 3 numbers be 5x, 5(x+1), 5(x+2).
5x+5(x+1)+5(x+2) = 375
5x+5x+5+5x+10 = 375
15x+15 = 375
15x = 360
x= 24.
The middle number is 5(x+1) = 5(25) = 125.
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