the difference of two numbers is 3 and the difference of their square is 69 find the numbers
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The difference of two numbers is 3. i.e.|x − y| = 3 ⇒ x − y = ± 3. ⇒ x −y = 3... → (1) or x − y = − 3... → (2) The difference of their square is 69. i.e.x2 − y2 = 69. ⇒ (x −y)(x +y) = 69, where,x −y = 3 from (1) or x − y = − 3 from (2) ⇒ 3(x + y) = 69 or − 3(x +y) = 69. ⇒ x +y = 23... → (3) or x +y = −23... → (4)
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13 and 10 are the numbers
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