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1.
There are two numbers where the sum of twice the first number and thrice the second number is 100. And the sum of thrics the first number and twice the second number is 120. Which is the largest number?
- A. 32
- B. 32
- C. 32
- D. 32
Answer: Option A
Explanation:
2x + 3y = 100 ..... (1)
3x + 2y = 120 ..... (2)
Multiply by 3 in Equation (1) and multiply by 2 in Equation (2) and then subtract
6x+9y=300
6x+4y=240
− − − ––––––––––––––––––
5y=60
y=12
x=32
3x + 2y = 120 ..... (2)
Multiply by 3 in Equation (1) and multiply by 2 in Equation (2) and then subtract
6x+9y=300
6x+4y=240
− − − ––––––––––––––––––
5y=60
y=12
x=32
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