1.

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

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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