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
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 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.
Divide 15 into two parts such that the sum of their reciprocals is `3/10`.
Divide 20 into two parts such that three times the square of one part exceeds the other part by 10.
The product of the digits of a two digit number is 24. If its unit’s digit exceeds twice its ten’s digit by 2; find the number.
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 the squares of two consecutive integers is 41. The integers 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 ______.
