Kim is twice as old as his friend sam.sam is 5 years older than cara.in 5 years kit will be three times as old as cara.how okd is sam
Answer (1)
C = Cara's Ages = c + 5 ( Sam is 5 years older than Cara )k = 2s = 2(c + 5) (Kim is twice as old as Sam)In 5 years:k + 5 = 3(c + 5) (Kim will be three times as old as Cara)[tex]\[\begin{aligned}\mathsf{s} &= \mathsf{c + 5} \\\mathsf{k} &= \mathsf{2s = 2(c + 5) = 2c + 10} \\\mathsf{k + 5} &= \mathsf{3(c + 5)} \\\mathsf{2c + 10 + 5} &= \mathsf{3c + 15} \\\mathsf{2c + 15} &= \mathsf{3c + 15} \\\mathsf{0} &= \mathsf{c} \\\mathsf{s} &= \mathsf{c + 5 = 0 + 5 = 5} \\\mathsf{k} &= \mathsf{2s = 2 \times 5 = 10} \ \\ \boxed{\mathsf{Sam\ is\ 5\ years\ old.}}\end{aligned}\][/tex]
