Divide the number 49 into two parts, such that if the greater part is increased by 6 and the lesser part is decreased by 11, their ratio is 9 to 2.
Correct answer: B
Explanation
Let x = the greater part, and 49-x = the lesser part.
By the conditions proposed, x+6:49-x-11 = x+6:38-x- = 9:2
Adding the terms, x+6:44 = 9:11
x+6:4 = 9:1
x+6 = 36. And x = 30.
Answer B
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Source: Algebra word problems from the AQuA-RAT dataset (Ling et al., 2017), published by Google DeepMind under the Apache License 2.0.
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AQuA-RAT items are crowdsourced algebra problems, not ACT questions. They carry five answer choices in the pre-2025 ACT Mathematics style and no ACT reporting category. Useful for drilling Preparing for Higher Math content; not a substitute for a real form.