Question

Two number are in the ratio 4:7.if 2 is added to the number their ratio changes to 7:10 the numbers are

Answer 1

Answer:

the numbers are 8/3 and 14/3

Step-by-step explanation:

⇒ Two number are in the ratio 4:7

   Let the numbers be 4x and 7x

⇒ If 2 is added to the number their ratio changes to 7:10

   

 $\frac{4x+2}{7x+2} =\frac{7}{10} \\\\ 10(4x+2)=7(7x+2) \\\\ 40x+20=49x+14\\\\ 49x-40x=20-14 \\\\ 9x=6 \\\\ x=6/9 \\\\ x=2/3$

$=> 4x=4(\frac{2}{3} ) =\frac{8}{3} \\\\ =>7x=7(\frac{2}{3} )=\frac{14}{3}$

The numbers are 8/3 and 14/3.