plz answer this question
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The sum of 12 square and 10 square is 244
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Hey mate! Here's your answer:
Step-by-step explanation:
Let the numbers be a and a + 2. According to the Question,
a² + (a + 2)² = 244
a² + a² + 4a + 4 = 244
2a² + 4a + 4 = 244
a² + 2a + 2 = 122
a² + 2a - 120 = 0
a² - 10a + 12a - 120 = 0
a(a - 10) + 12(a - 10) = 0
(a + 12)(a - 10) = 0.
a + 12 = 0
a = -12 (Rejected as it's not a natural number).
a - 10 = 0
a = 10.
So the numbers are 10 and 12.
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