If J/4 = k/5 = L/3, then what is the value of (L + J)2 : (J + K)2 : (K + L)2 = ?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 49 : 81 : 64.
Lets assume J/4 = K/5 = L/3 = x
J = 4x
K = 5x
L = 3x
So, (L + J)2 : (J + K)2 : (K + L)2
= (3x + 4x)2 : (4x + 5x)2 : (5x + 3x)2
= 49x2 : 81x2 : 64x2
= 49 : 81 : 64