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| For The Mathematically Inclined |
Anil Saigal
10/20/2016
Problem 1 Problem 2 Please send your solutions anil@lokvani.com. Use Problem Solutions M-102016 as the subject line. Please include your full name in the text of the main message. Everyone with the right answer will be acknowledged in the next issue of Lokvani. -------------------------------------------------------------------------------------------------------- Problem 1 Problem 28x
x2 + 5 - 1 = 0
What is the value of x?
I know a 5 digit number having a property that With a 1 after it, it is three times as large as it would be with a one before it. What is the number?
Please do not post your solution in Post Comments. No credit will be given for solutions not sent to anil@lokvani.com.
If you need clarification on any problem, please contact anil@lokvani.com.
A rhombus, ABCD, has sides of length 10. A circle with center A passes through C (the opposite vertex.) Likewise, a circle with center B passes through D. If the two circles are tangent to each other, what is the area of the rhombus?
Two ladders are placed cross-wise in an alley to form a lopsided X-shape. The walls of the alley are not quite vertical, but are parallel to each other. The ground is flat and horizontal. The bottom of each ladder is placed against the opposite wall. The top of the longer ladder touches the alley wall 5 feet vertically higher than the top of the shorter ladder touches the opposite wall, which in turn is 4 feet vertically higher than the intersection of the two ladders. How high vertically above the ground is that intersection?
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