Question

4x+y/8x+9y is the duplicate ratio of 3:5 find x:y

Answer 1

Given , 4x + y/ 8x + 9y is the duplicate ratio of 3:5 ,


as we know that ,




duplicate ratio of a : b = a^2 / b^2



so now , duplicate ratio of 3 : 5

= ( 3 )^2 / (5 )^2 = 9 / 25



now, according to question ,




9 / 25 = 4x + y / 8x + 9y




9 ( 8x + 9y ) = 25 ( 4x + y )





72x + 81y = 100x + 25y





81y - 25y = 100x - 72 x





56y = 28x




x / y = 56 / 28



x / y = 2 / 1




x : y = 2 : 1



【 hope it helps 】