DIRECTIONS for the question: Solve the following question and mark the best possible option.
There are two numbers such that the sum of twice the first number and thrice the second number is 100 and the sum of thrice the first number and twice the second number is 120. Which is the larger number?
A)
32
B)
12
C)
14
D)
35
E)
None of these
A
Let the number be x and y.
2x + 3y = 100…..(i), 3x + 2y = 120…..(ii). Solving this we get, x = 32 and y = 12.