If (3x + 4y)/(3x − 4y) = 7/1, then x : y equals:

Question

Accepted Answer

16 : 9. Componendo and dividendo turn the ratio into (2 × 3x)/(2 × 4y) = (7 + 1)/(7 − 1) = 8/6, so 3x/(4y) = 4/3 and x/y = 16/9. Check with x = 16, y = 9: (48 + 36)/(48 − 36) = 84/12 = 7.

If $(3 x + 4 y) / (3 x - 4 y) = 7/1$ , then $x : y$ equals:

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Algebra practice

If (3x+4y)/(3x−4y)=7/1, then x:y equals:

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Algebra practice

If $(3 x + 4 y) / (3 x - 4 y) = 7/1$ , then $x : y$ equals: