Question

two numbers are in ratio 5 ratio6 if 8 is subtracted from each of the number the ratio become 4 ratio 5 find the numbers​

Answer 1

Answer:

let the first number of the ratio be x and the second number of the ratio be y

=> 5/6=x/y

=>5y=6x

=>y=(6x)/5 (eq.1)

Also,

(x-8)/(y-8)=4/5

=>5(x-8)=4(y-8)

=>5x-40=4y-32

=>5x-4y=8 (eq.2)

put the value of y from eq.1 in eq.2

5x-4(6x)/5=8

=>5x-24x/5=8

=>(25x-24x)/5=8

=>x=40

Now,put the value of x in eq. 1

y=(6x40)/5

=>y=48

Therefore the numbers are 40 and 48