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The product of the two integers x and y where x > 65 and y > 80, is 5780 and their HCF is 17 then what is the sum of the two integers?1. 682. 853. 1534. 136 |
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Answer» Correct Answer - Option 3 : 153 Given: The product of the two number = 5780 HCF = 17 Concept used: The HCF defines the greatest factor present in between two or more numbers. Calculation: Let the two number be 17x and 17y The product of the two number = 5780 ⇒ 17x × 17y = 5780 ⇒ 289 xy = 5780 ⇒ xy = 20 The possible value of x and y is (1, 20), (20, 1), (2, 10), (10, 2), (4, 5), (5, 4) So the value which satisfied above condition is 4, 5 The first integer is 68 and the second integer is 85 Sum = 68 + 85 = 153 ∴ The sum of the two integers is 153 |
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