Question

1. Find two
numbers whose sum is 50 and product 525.
2. "The difference between two natural numbers is 4 and their pre
3. Find two consecutive positive even integers whose product is
4. Find two consecutive natural numbers, the sum of whose squ
5. The sum of two natural numbers is 12 and the sum of their
6. Find two consecutive multiples of 3 whose product is 270.
65
7. The sum of a natural number and its reciprocal is. Fine
8. Divide 27 into two parts such that the sum of their recipro
8
837 -
9. The sum of the squares of three consecutive odd numbers
[Hint : Let the required odd numbers be x, x + 2 and x +
x2 + (x + 2)2 + (x + 4)2 = 2531 >*?4x
10. The product of two consecutive natural numbers which are
the two numbers.​

Answer 1

Answer:

let the required no. be x and y

so according to the question

=> x+ y = 50 -------(1)

and => xy = 525 -------(2)

so put y = 525/x in eqn (1)

we get ,

=> x + 525/x = 50

=> x^2 + 525 = 50x

=> x^2 -50x +525 = 0

=> x^2 -35x -15x + 525 =0

=> x(x-35) -15(x-35) =0

=> (x-35)(x-15) = 0

=> x-35 = 0 or x-15 = 0

=> x = 35 , 15

# so the required number is 35 and 15