Question

The ratio of two numbers is 8:5. If 18 is added to the first number and 15 is subtracted from the second number then the number becomes 3:1. If 12 is subtracted from the first number and 5 is added to the second number then the ratio of the given numbers will be A. 9:8 B. 6:5 C. 7:6 D. 5:4​

Answer 1

Answer:

Let the two numbers be x and y.

According to the question,

y

x

=

6

5

⇒y=

s

6x

…(i)

Also,

y−8

x−8

=

5

4

⇒5(x−8)=4(y−8)

⇒5x−40=4y−32

⇒5

x−4y

=8…( ii )

On putting the value of y=

5

6x

in Eq. (ii), we get

5x−4(

5

6x

)=8

⇒

5

25x−24x

=8

⇒x=40

On putting the value of x=40 in Eq. (i), we get

y=

5

6×40

=48

Hence, the two numbers are 40 and 48 .

Answer 2

Answer:

the numbers are 56 and 45