In a class of 16 pupils ,12 did both mathematics and English. The number of pupils who did mathematics are twice as the number of pupils who did mathematics. illustrate the information on a veen diagram
First of all, I will assume you meant to say:
"The number of pupils who did Mathematics are twice as the number of pupils who did English."
Secondly, it's called a Venn diagram, not veen
draw your Venn diagram
in the intersection, place 12
in the "only math" part , label it x
in the "only English" part, label it y
we know x+y+12=16
x+y = 4
y = 4-x
change the y in your diagram to 4-x
(pressed the submit too soon)
12 + x = 2(4-x + 12)
12+x = 32 - 2x
3x = 20
x = 20/3 <---- not a whole number,
furthermore 4-x would be a negative number of students!
Your data is inconsistent, and the question is invalid