1. There are two numbers such that the sum of twice
the first and thrice the second is 39, while the sum
of thrice the first and twice the second is 36. The
larger of the two is
(a) 6
(b) 8
(c) 9
(d) 12
Answers
Answer: None of these
Step-by-step explanation:
There are two numbers such that the sum of twice the first and thrice the second is 39, while the sum of thrice the first, and twice the second is 36. The larger of the two is: A) 3. B) 6. C) 9. D) 12. E) None of these.
Answer:
(c) 9
Step-by-step explanation:
2x+3y = 39
2x+3y = 393x+2y = 36
2x+3y = 393x+2y = 36=> x+y = 15
2x+3y = 393x+2y = 36=> x+y = 15=> x-y = -3
2x+3y = 393x+2y = 36=> x+y = 15=> x-y = -3=> 2x = 12
2x+3y = 393x+2y = 36=> x+y = 15=> x-y = -3=> 2x = 12=> x = 6
2x+3y = 393x+2y = 36=> x+y = 15=> x-y = -3=> 2x = 12=> x = 6So, 6+y = 15
2x+3y = 393x+2y = 36=> x+y = 15=> x-y = -3=> 2x = 12=> x = 6So, 6+y = 15=> y = 9
2x+3y = 393x+2y = 36=> x+y = 15=> x-y = -3=> 2x = 12=> x = 6So, 6+y = 15=> y = 9Therefore, the larger of the two is 9.
2x+3y = 393x+2y = 36=> x+y = 15=> x-y = -3=> 2x = 12=> x = 6So, 6+y = 15=> y = 9Therefore, the larger of the two is 9.Mark as brainliest