Question

the ratio between two numbers is is 5:6 if the each number os reduced by 14 the ratio becomes 3:4 find the numbers
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Answer 1

Answer:

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Step-by-step explanation:

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 .