Answer:
3 years ago
Step-by-step explanation:
let m be Musa's age and d be Dayo's age
let x be number of years ago
m = 47
d = 22
(m - x)(d - x) = 836
(47 - x)(22 - x) = 836
1034 - 69x + x² = 836
x² - 69x + 198 = 0
This is in standard from ax² + bx + c = 0
Factor to be (x+q)(x+p)=0
p*q = c = 198
p+q = b = -69
198 = (-3)*(-66)
(-3) + (-66) = -69
Factored form is:
(x - 66)(x - 3) = 0
Set each bracket to 0
x - 66 = 0
x = 66 <= This number is inadmissable because neither Musa nor Dayo reached age 66.
x - 3 = 0
x = 3
The product of their ages was 836 3 years ago.
