Advertisements
Advertisements
प्रश्न
The sum of two whole numbers is 18 and their product is 45, the numbers are ______.
पर्याय
15 and 3
– 15 and – 3
– 15 and 3
15 and – 3
Advertisements
उत्तर
The sum of two whole numbers is 18 and their product is 45, the numbers are 15 and 3.
Explanation:
Let the two whole numbers are x and 18 – x and their product is 45.
∴ x(18 – x) = 45
`\implies` 18x – x2 = 45
`\implies` x2 – 18x + 45 = 0
`\implies` x2 – 3x – 15x + 45 = 0
`\implies` x(x – 3) – 15(x – 3) = 0
`\implies` (x – 3)(x – 15) = 0
Either x – 3 = 0 or x – 15 = 0
`\implies` x = 3 or x = 15
`\implies` x = 3 or 15
संबंधित प्रश्न
A positive number is divided into two parts such that the sum of the squares of the two parts is 20. The square of the larger part is 8 times the smaller part. Taking x as the smaller part of the two parts, find the number.
The sum of the squares of two positive integers is 208. If the square of the large number is 18 times the smaller. Find the numbers.
The sum of a number and its reciprocal is 4.25. Find the number.
Two natural numbers differ by 3. Find the numbers, if the sum of their reciprocals is `7/10`.
Divide 15 into two parts such that the sum of their reciprocals is `3/10`.
The sum of the squares of two consecutive positive even numbers is 52. Find the numbers.
Three consecutive natural numbers are such that the square of the middle number exceeds the difference of the squares of the other two by 60. Assume the middle number to be x and form a quadratic equation satisfying the above statement. Hence; find the three numbers.
The sum of two natural numbers is 5 and the sum of their reciprocals is `5/6`, the numbers are ______.
The sum of a number and its reciprocal is 5.2. The number is ______.
The sum of a number and its reciprocal is 4.25; the number is ______.
