The difference between the squares of two numbers is 256000 and the sum of the numbers is 1000. The numbers are
Correct answer: B
Explanation
Let the numbers be x and y.
Then, x^2 - y^2 = 256000 and x + y = 1000.
On dividing we get : x - y = 256.
‹=›Solving x + y = 1000 and x - y = 256,
‹=›we get : x = 628 and y = 372.
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.