Question

at a function , the ratio of the number of women was 3:4 when another 5 men amd 5 women joined the function, the ratio became 7:9 how many men were there at the function​

Answer 1

Answer:

Let the ration of men and women =x:y

Acceding to given question.

y

x

​

=

4

3

​

4x=3y

x=

4

3y

​

−−−−−−−−−−−(1)

Now,

5 men and 5 women joining the function.

So,

y+5

x+5

​

=

9

7

​

9x+45=7y+35

9x−7y=35−45

9x−7y=10

9x−7y+10=0−−−−−−−−−−−(2)

From equation (1) and (2) to

9×

4

3y

​

−7y+10=0

27y−28y+40=0

−y+40=0

−y=−40

y=40

Women =40

Put the value of y in equation (1) and we get

x=

4

3y

​

x=

4

3×40

​

x=3×10

x=30

Men =30

Hence, 30 men were there at the function at first.

Hope it will help you mate...

Step-by-step explanation: