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

Answer:

12 and 45

Step-by-step explanation:

LET THE AGE OF PERSON BE X .

LET THE AGE OF SON BE Y.

X+Y=57. (1)

X×Y=540. (2)

FINDING VALUE OF X FROM (1)

X=57-Y

NOW PUTTING THIS VALUE IN (2)

57-Y ×Y= 540

57Y-Y²=540

Y²-57Y+540=0

Y²-(45Y+12Y)+540=0

Y²-45Y-12Y+540=0

Y(Y-45)-12(Y-45)=0

(Y-12)(Y-45)=0

Y=12 AND Y=45