Your mother is 25 years older than you. Your father is 3 years older than your mother. The product of all three ages are 32,130. How old is your father?
+73 Let x be our age, m be mother's age, and f be father's age. If mother is 25 years older than us, x+25=m
If father is 3 years older than mother, m+3=f
The product of all 3 ages are 32130
xmf=32130
Substitute m with x+25
m+3=f
x+25+3=f
x+28=f
Substitute now f and m:
xmf=32130
x(x+25)(x+28)=32130
(x^2+25x)(x+28)=32130
x^3+28x^2+25x^2+700x=32130
x^3 +53x^2+700x=32130
x^3+53x^2+700x-32130=0
m=25+!7
m=42
f=m+3
f=42+3
f=45
45 years old.
😊
+37146 y = you
m = 25 + y
f = 25 + y + 3
y * (25+y) ( 25+y + 3) = 32130
y3 + 53y2 +700y -31430 = 0 y = 17 via wolframalpha
father = 17 + 28 = 45 y/o as Vanilla found !
