Dear friends
How can short cut math today’s tropic Forming Equation /Expression part following solved of math .
1.One-half of five-twelfths of a pole is 5 feet in length .What is the length of the pole ?
Solved : One-half(1/2) of five-twelfths(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)/ (8000-1000)=(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+7b-32=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