The sum of the numerator and the denominator is 8 and their product is 15. Then the fraction is: 1. and 2. or 3. 3 and 5 4. 3 or 5

or Reason It is given that the sum of the numerator and the denominator is 8. Let the numerator of the fraction be x. So, denominator of the fraction = 8 - x And, the product of numerator and denominator is 15. ⇒ x(8 - x) = 15 ⇒ 8x - x2 = 15 ⇒ 8x - x2 - 15 = 0 ⇒ x2 - 8x + 15 = 0 ⇒ x2 - 5x - 3x + 15 = 0 ⇒ x(x - 5) - 3(x - 5) = 0 ⇒ (x - 5)(x - 3) = 0 ⇒ (x - 5) = 0 or (x - 3) = 0 ⇒ x = 5 or x = 3 When x = 5, denominator = 8 - 5 = 3 When x = 3, denominator = 8 - 3 = 5 So, the fraction = . Hence, option 2 is the correct option.

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Taking the bigger number x a positive number, find the smaller of these two angles.

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The sum of the digits of a two digit number is 9 and the product of the digits is 20. If the unit digit is greater than the tens digit. The number is
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Mathematics

The sum of the numerator and the denominator is 8 and their product is 15. Then the fraction is: 1. and 2. or 3. 3 and 5 4. 3 or 5

Quadratic Equations

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The sum of the squares of two consecutive multiplies of 7 is 637.
Taking the bigger number x a positive number, find the smaller of these two angles.

Two positive numbers difference by 5. Three times the square of the larger number exceeds twice the square of smaller number by 334, find the larger of these two numbers.

The sum of the digits of a two digit number is 9 and the product of the digits is 20. If the unit digit is greater than the tens digit. The number is
45
54
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Two whole numbers are in ratio 3:2. If the sum of their square is 52, the numbers are:
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none of these

Mathematics

The sum of the numerator and the denominator is 8 and their product is 15. Then the fraction is: 1. and 2. or 3. 3 and 5 4. 3 or 5

Quadratic Equations

Related Questions

The sum of the squares of two consecutive multiplies of 7 is 637.Taking the bigger number x a positive number, find the smaller of these two angles.

Two positive numbers difference by 5. Three times the square of the larger number exceeds twice the square of smaller number by 334, find the larger of these two numbers.

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Two whole numbers are in ratio 3:2. If the sum of their square is 52, the numbers are:9 and 66 and 49 and 4none of these

The sum of the squares of two consecutive multiplies of 7 is 637.
Taking the bigger number x a positive number, find the smaller of these two angles.

The sum of the digits of a two digit number is 9 and the product of the digits is 20. If the unit digit is greater than the tens digit. The number is
45
54
none of these

Two whole numbers are in ratio 3:2. If the sum of their square is 52, the numbers are:
9 and 6
6 and 4
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none of these