Solved IB ACIO Question
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Q · Arithmetical Reasoningmedium · 45s
Sum of two numbers is 40. Twice first plus thrice second is 100. Find numbers.
TopicArithmetical Reasoning
Question Typemultiple choice
Difficultymedium
Marking+1 / −0.25
Test Duration30 min
Step-by-Step Solution
The complete worked solution.
Every step explained - no skipped algebra.
Let the two numbers be x and y
Condition 1:x + y = 40 → (i)
Condition 2:2x + 3y = 100 → (ii)
From (i): x = 40 – y
Substitute in (ii):2(40 – y) + 3y = 10080 – 2y + 3y = 10080 + y = 100y = 20Now, x = 40 – 20 = 20
Final Answer: Option D - 20,20