Answered

Suriin ang malawak na saklaw ng mga paksa at makakuha ng mga sagot sa IDNStudy.com. Magtanong at makakuha ng detalyadong sagot mula sa aming komunidad ng mga eksperto na may kaalaman.

the product of the sum and the difference of two numbers is 105 . find the two numbers.

Sagot :

(a+b)(a-b) = 105

105 = 3 * 5 * 7

So the possible pairs of sums and differences are:
1 * 105, a + b = 105, a - b = 1, a = 53, b = 52
3 * 35, a + b = 35, a - b = 3, a = 19, b = 16
5 * 21, a + b = 21, a - b = 5, a = 13, b = 8
7 * 15, a + b = 15, a - b = 7, a = 11, b = 4

So (a,b) = {(53,52), (19,16), (13,8), (11,4)}