Answered

Sumali sa IDNStudy.com at makuha ang mabilis at kaugnay na mga sagot. Alamin ang mga detalyadong sagot sa iyong mga tanong mula sa aming malawak na kaalaman sa mga eksperto.

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]