Answered

IDNStudy.com, ang iyong mapagkukunan ng mabilis at pangkomunidad na mga sagot. Tuklasin ang mga maaasahang impormasyon sa anumang paksa sa pamamagitan ng aming network ng bihasang mga propesyonal.

Sandra is twice as old as Russell Eight years ago the product of their ages was 10 find their current ages

Sandra Is Twice As Old As Russell Eight Years Ago The Product Of Their Ages Was 10 Find Their Current Ages class=

Sagot :

Jafif67556idn

Eight years ago:

[tex](r - 8)(2r - 8) = 10 [/tex]

Expanding and simplifying:

[tex]2r^2 - 24r + 64 = 10 [/tex]

[tex]2r^2 - 24r + 54 = 0 [/tex]

[tex]r^2 - 12r + 27 = 0 [/tex]

Factoring the quadratic:

[tex](r - 9)(r - 3) = 0 [/tex]

Solutions:

[tex]r = 9 \quad \text{or} \quad r = 3 [/tex]

Only realistic solution:

[tex]{r = 9 }\quad \text{(ages cannot be negative)} [/tex]

Current ages:

[tex]- Russell: ( 9 ) years[/tex]

[tex]- Idra: \( 18 \) \:years[/tex]