Two positive numbers A and B (A > B) are in the ratio 11 : 8. If the difference between 7 times of A 4 times of B is 225, then the value of 2A + 3B is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 230.
Calculations:
Let the two numbers A and B be 11x and 8x
According to the question;
⇒ 7 × 11x - 4 × 8x = 225
⇒ 77x - 32x = 225
⇒ 45x = 225
⇒ x = 5
The two numbers A and B are 55 and 40
⇒ 2A + 3B = 2 × 55 + 3 × 40
⇒ 110 + 120 = 230