If (8x+3y)/(4x+5y) = 25/23 then find x : y.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 2 : 3
⇒ (8x+3y)/(4x+5y) = 25/23
Dividing by 'y' in the denominator and in numerator
⇒ (8(x/y) + 3)/(4(x/y) + 5) = 25/23
Let x/y = t
⇒ (8t + 3)/(4t + 5) = 25/23
⇒ 184t + 69 = 100t + 125
⇒ 84t = 56
⇒ t = 2/3
⇒ x : y = 2 : 3