Question

The number of men and women in a conference hall
are in the ratio 5:4. If three men and six women are
joined in the conference hall then the number of
men and women in the conference hall will be in the
ratio 7: 6. Find the original number of men and
women in the conference hall.
(A) 48, 60
(B) 60, 48
(C) 30, 24
(D) 40, 32​

Answer 1

People are in a conference hall(for no reason)

Out of 5 units: men are 5,and women are 4.

Now more people are joining.the ratio is 1 time bigger.

before:

4:5

After:

7:6

Till now,what we did was in terms of units.

Now we gotta do it in actual numbers-

The number of men are more than umber of women,and the difference between their units is 1.

let's take a look at the options-

a)48,60

Nope!the number of men are more than women.

b)60,48-yes,but we need to simplify it.

c)30,24-ye.we got it!

d)40,32-nah,too big.

Thank you for reading my answer!