Two numbers are in the ratio 3:5. If 9 is subtracted from each, the new numbers are in the ratio 12:23. The smaller number is?
Correct answer: B
Explanation
Let the numbers be 3x and 5x
3x-9 / 5x-9 = 12/23
23(3x-9) = 12(5x-9)
9x = 99
x = 11
The smaller number is = 3*11 = 33
Answer is 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.