Question

If (5a + 3b) : (2a – 3b) = 23 : 5, then the value of a : b is ______.

पर्याय

• 1 : 2

• 1 : 4

• 2 : 1

• 4 : 1

Answer 1

If (5a + 3b) : (2a – 3b) = 23 : 5, then the value of a : b is 4 : 1.

Explanation:

Cross-multiplication gives 5(5a + 3b) = 23(2a – 3b), which simplifies to 21a = 84b.

Hence a : b = 4 : 1.