
Short cut math of Forming Equation /Expression port 1
Dear friends
How can short cut math today’s tropic Forming Equation /Expression part following solved of math .
1.Onehalf of fivetwelfths of a pole is 5 feet in length .What is the length of the pole ?
Solved : Onehalf(1/2) of fivetwelfths(5/12) of a pole(a) = 1/2X5/12Xa=5a/24
Condition:
5a/24=5
Or, a =(24X5)/5=24
Ans :24
2.if costs tk. 1,000 to make the first 1000 a book and X Taka to make each additional copy .if costs a total of Tk . 7230 to make the first 8000 copies of a book .what is X ?
Solved :
X = (7230 1,000)/ (80001000)=(6230)/(7X1000)=890/1000=0.89
3. five times of a number is 22 more than 4 times another number .if the sum of 3 times the bigger number and 7 times the smaller number is 32 , what is the smaller number ?
5a – 4b = 22=> 5a – 4b 22 =0
3a+7b = 32(a>b)=>3a+7b32=0
5 4 22 5 4
3 7 32 3 7
Ans: smaller number ={22X3 – (32)X5}/{5X7(4)3}
={66+160}/{35+12}
=94 47
=2
4.If 4 is subtracted from one –fourth of a number , the result is 20 . The number is 
Ans: Ľ X a number = 20 + 4=24
So number =24X4=96
5.one –third the sum of 13 & a certain number is the same as one more than twice the number . Find the number—
Solved :
1/3(13+number)=1+2number
=>13 + number =3 +6number
=>number =10/5=2
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