Re: Secondary School Mathematics
Posted: Mon May 06, 2013 5:08 pm
the above method is very nice.
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Dear Sir/Mdm,PiggyLalala wrote:Need help to solve the following question.
Log (base 9) a = log (base 12) b =log (base 16) (a+b), find the value of a/b.
TIA
very much for the solution. Was using the wrong approach- change of base n made a big mess... haha..mathtuition88 wrote:Dear Sir/Mdm,PiggyLalala wrote:Need help to solve the following question.
Log (base 9) a = log (base 12) b =log (base 16) (a+b), find the value of a/b.
TIA
Please see my answer at http://mathtuition88.com/2013/05/12/o-l ... allenging/
Best wishes.
You are welcome, glad to help.PiggyLalala wrote:very much for the solution. Was using the wrong approach- change of base n made a big mess... haha..mathtuition88 wrote:Dear Sir/Mdm,PiggyLalala wrote:Need help to solve the following question.
Log (base 9) a = log (base 12) b =log (base 16) (a+b), find the value of a/b.
TIA
Please see my answer at http://mathtuition88.com/2013/05/12/o-l ... allenging/
Best wishes.
I did not think of letting y = the log expression n change it into its exponential form.
Thank you so much.
Father's money [-1000-][1U][-------------------9U-------------------]Qwertymum wrote:My son asks me a Math question from his MY Revision Paper which I need help. Find it rather challenging! Or if there is something not right? Could anyone out there kindly help to solve, thanks in advance.
" A father in his will left all his money to his children as such: $1000 and 1/10 of what then remains to the first born; then $2000 and 1/10 of what then remains to the second; then $3000 and 1/10 of what then remains to the third born; and so no. When this was done each child had the same amount. How many children were there? "
jieheng wrote:Father's money [-1000-][1U][-------------------9U-------------------]Qwertymum wrote:My son asks me a Math question from his MY Revision Paper which I need help. Find it rather challenging! Or if there is something not right? Could anyone out there kindly help to solve, thanks in advance.
" A father in his will left all his money to his children as such: $1000 and 1/10 of what then remains to the first born; then $2000 and 1/10 of what then remains to the second; then $3000 and 1/10 of what then remains to the third born; and so no. When this was done each child had the same amount. How many children were there? "
Father's money [-1000-][1U][--2000--][1P][-----------9P-----------]
Father's money = 1000 + 10U
the money that 1st child will receive = 1000 + 1U
the money that 2nd child will receive = 2000 + 1P
Each child will receive the same amount of money
1000 + 1U = 2000 + 1P
1U = 1000 + 1P ------------(1)
9U = 2000 + 10P ----------(2)
(1)*9 , 9U = 9000 + 9P ---(3)
(2) = (3) ,
2000 + 10P = 9000 + 9P
1P = 7000
From (1)
1U = 1000 + 1P = 1000 + 7000 = 8000
Father's money = 1000 + 10U = 1000 + 10*8 = 81000
the amount of money that each child will receive = 1000 + 1U = 9000
No of children = 81000 / 9000 = 9