Math Fun
#1168132
11/04/18 01:28 PM
11/04/18 01:28 PM
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Joined: Aug 2000
Posts: 52,940 Upstate NY
Pandora
OP
Sonic Boomer
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OP
Sonic Boomer
Joined: Aug 2000
Posts: 52,940
Upstate NY
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-1. When I add 2 times my age 2 years from now to 3 times my age 3 years from now, I get 6 times my current age. How old will I be 5 years from now?" 2. Arrange the numbers 1-32 in a circle so that any two adjacent numbers sum to a square number. For Example : 1-8-28 ... ( 1+8=sq(3) and 8+28=sq(6) ) -3. Three circles are bound together by a rubber band as shown in the figure. Assume the diameter of each circle is 10 cm; then how long is the rubber band if it is stretched as shown? -4. Mick and John were in a 100 meter race. When Mick crossed the finish line, John was only at the 90 meter mark. Mick suggested they run another race. This time, Mick would start ten meters behind the starting line. All other things being equal, will John win, lose, or will it be a tie in the second race?
Netflix needs to stop asking if I'm still watching and start asking if I've switched the laundry over yet
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Re: Math Fun
[Re: Pandora]
#1168143
11/04/18 07:33 PM
11/04/18 07:33 PM
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Joined: Nov 2000
Posts: 18,719 Ottawa Ontario Canada
CanukDenis
Graduate Boomer
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Graduate Boomer
Joined: Nov 2000
Posts: 18,719
Ottawa Ontario Canada
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MICK:@m............100..............>t JOHN:@j...........90..........>t 100/m = 90/j : j = 9m / 10
@m.................110........................>110/m ***10***@j...............100..............>100/j = 100/(9m/10)
110/m - 100/(9m/10) = 110/m - 1000/(9m) = 990/(9m) - 1000/(9m) = -10/(9m) : so poor John loses again !!
I'm a man of few words, BUT I use 'em often!!
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Re: Math Fun
[Re: Pandora]
#1168181
11/05/18 05:58 AM
11/05/18 05:58 AM
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Joined: Jan 2003
Posts: 5,763 Mojave desert, California
CCbomber
BAAG Specialist
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BAAG Specialist
Joined: Jan 2003
Posts: 5,763
Mojave desert, California
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3. Line segments, AB, CD, and EF are all 10cm in length. Arc BC spans 120deg of the circle. Circumference of the circle is 10pi so Length of arc BC is (120/360)10pi = (10/3)pi Length of the rubber band = 10+10+10+3(10/3)pi = 30+10pi
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Re: Math Fun
[Re: Pandora]
#1168195
11/05/18 09:25 AM
11/05/18 09:25 AM
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Joined: Jul 2002
Posts: 29,026 Unionville
manxman
Sonic Boomer
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Sonic Boomer
Joined: Jul 2002
Posts: 29,026
Unionville
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1. Let x be your current age. 2(x+2) + 3(x+3) = 6x 5x + 13 = 6x 13 = x Your current age is 13, 5 years from now your age will be 18
Sometimes lost is where you need to be. Just because you don't know your direction doesn't mean you don't have one.
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Re: Math Fun
[Re: Pandora]
#1168196
11/05/18 09:32 AM
11/05/18 09:32 AM
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Joined: Mar 2004
Posts: 11,846 Isle of Man
Lex
Adept Boomer
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Adept Boomer
Joined: Mar 2004
Posts: 11,846
Isle of Man
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1. You will be 18 in 5 years time, being 13 now - (2 x 15) + (3 x 16) = 78 = 6 x 13 Probably feels like only yesterday!
Last edited by Lex; 11/05/18 09:33 AM.
Life is what happens while you're making other plans.
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Re: Math Fun
[Re: Pandora]
#1168222
11/05/18 12:51 PM
11/05/18 12:51 PM
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Joined: Nov 2000
Posts: 18,719 Ottawa Ontario Canada
CanukDenis
Graduate Boomer
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Graduate Boomer
Joined: Nov 2000
Posts: 18,719
Ottawa Ontario Canada
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2. Arrange the numbers 1-32 in a circle so that any two adjacent numbers sum to a square number. For Example : 1-8-28 ... (1+8=sq(3) and 8+28=sq(6)) Morning walk analysis: - arranging in straight line ok, but 1st + last = a square - 32+31 = 63: so 64 too high, so 49 = highest square - possible squares are 4,9,16,25,36,49 - using 32: 32+4=36 and 32+17=49 are only possibilities Hope someone solves soon, cause I'm now kinda stuck!!!
I'm a man of few words, BUT I use 'em often!!
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