Question

The sum of the ages of a person and his son is
57. The product of their ages is 540. Find their ages.​

Answer 1

Step-by-step explanation:

LET THE AGE OF A PERSON BE α years and the age of the son be β years

therefore α + β = 57

α × β = 540

the required equation will be

x²-(α + β)x + α × β = 0

FIND X YOURSELF BY SUBSTITUTING VALUES

Answer 2

Step-by-step explanation:

$\alpha + \beta = 57. \alpha \times \beta = 540 \\ \\ x { }^{2} - ( \alpha + \beta )x + ( \alpha \times \beta ) = 0 \\ x {}^{2} - 57x + 540 = 0 \\ \\ 540 = - 45 \times - 12 \\ x(x - 45) - 12(x - 45) = 0 \\ (x - 12) \: \: (x - 45) = 0 \\ x - 12 = 0 \: \: x - 45 = 0 \\ x = 12 \: \: \: x = 45$

Hope This help You