can u explane me the answer here in this problem 2:n=18:90?

Solve for n in a ratio and proportion expression:
2:n = 18:90
The product of the means equals the product of the extremes, thus:
18n = 2(90)
9n = 90
n = 10

Answer: n = 10

Proof (substitute n with 10 & reduce the ratio to lowest terms:
2:10 = 18:90
(2/2):(10/2) = (18/18):(90/18)
1:5 = 1:5

so this is like ratios..and for you to understand it better i hope..let us make this as a fraction.so.. 2/n=18/90..if we say that the fraction is equal, we must test in thru croos multiplication..

so.. 2 times 90=180
then n times 18= 18n..
to get the value of n..we need to divide 180 by 18n..so dividing that we get..10

so the answer is ten..

to chek if its correct,use the cross multiplication again, so

2 times 90 is 180 and
18 times 10 is also 180...

so the answer is correct..!


did you understand?....hope this helps...i made it easier for you to understand..i just hope you know something about fractions.

2:n = 18:90
2/n = 18/90
n = 2/(18/90)
n = 2(90/18)
n = 180/18
n = 10

18 : 90
2 : 10
2 : n

n = 10

2:n is another way of expressing a ratio.

so 2/ n = 18 / 90 means the same thing.

so the answer is 10

I believe the answer would be 10. It's kinda like 2 is to 18 as n is to 90.
18/2=9
90/9=10