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
The sum of the squares of two consecutive natural numbers is 41. Find the numbers.
The sum of a number and its reciprocal is 4.25. Find the number.
The sum S of first n even natural numbers is given by the relation S = n(n + 1). Find n, if the sum is 420.
In a two-digit number, the ten’s digit is bigger. The product of the digits is 27 and the difference between two digits is 6. Find the number.
Given that the sum of the squares of the first seven natural numbers is 140, then their mean is ______.
The sum of two natural numbers is 5 and the sum of their reciprocals is `5/6`, the numbers are ______.
The sum of the squares of two consecutive integers is 41. The integers are ______.
The product of two whole numbers, each greater than 4, is 35; the numbers are ______.
If 18 is added to a two-digit number, its digits are reversed. If the product of the digits of the number is 24, the number is ______.
The sum of a number and its reciprocal is 4.25; the number is ______.
