If a : b = 3 : 7, then (2a + 3b) : (3a + 2b) is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 27 : 23.
a = 3k, b = 7k
Now, calculate (2a + 3b) and (3a + 2b):
(2a + 3b) = 2(3k) + 3(7k) = 6k + 21k = 27k.
(3a + 2b) = 3(3k) + 2(7k) = 9k + 14k = 23k.
T(2a + 3b) : (3a + 2b) = 27k : 23k = 27 : 23