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16. Two numbers are in the ratio 4: 5. If thefirst number is decreased by 3 and thesecond number is increased by 3, the ratiobecomes 3:5. Find the numbers.​

Answer»

Answer:

Let the first no. = X

and the the SECOND no. = y

x : y = 4 : 5

( x/y ) = ( 4/5 )

x = 4y/5

Now, according to the question

the first no. becomes = x-3

and the second no. becomes = y+3

( x-3 ) : ( y+3 ) = 3 : 5

( x-3 ) / ( y+3 ) = 3 / 5

5X - 15 = 3y + 9

5x - 3y = 24

Now put the value of x

5 ( 4y/5 ) - 3y = 24

4y - 3y = 24

y = 24

So, x = 4y/5 = 96/5


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