Question

Find two factors of the first number such that their product is the first and the sum is the second for 51,20

Answer 1

The factors are 17 and 3.

The given conditions are two factors of the first number, 51 such that their product is 51 and the sum is the second number 20.
let say, the factors are x and y.

therefore, we can write, x.y = 51 ... (1)  and x + y = 20 .... (2)

Putting  the value of x from equation (2) in  equation (1) we get,

(20 - y).y = 51

or, 20y - y² = 51

or, y² - 20y + 51 = 0

or, y = 17, 3

then x = 3,17

Therefore, The factors are 17 and 3.

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