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Valentin [98]
3 years ago
10

gordan is twice as old as tony was when gordan was as old as tony is now. combined age of gordan and tony is 112 years. how old

are gordan and tony now?​
Mathematics
2 answers:
yaroslaw [1]3 years ago
7 0

Answer:

Answer

Tony:48

Gordan :64

Step-by-step explanation:

\begin{array}{c|c|c}Age&Gordon&Tony\\------------------&-------&-------\\now&g&t\\when\ gordan\ was\ as\ old\ as\ tony\ is\ now&t(=g-g+t)&t-g+t=2t-g\\\end{array}\\\\\\\\\left\{\begin{array}{ccc}g&=&2*(2t-g)\\g+t&=&112\\\end {array}\right.\\\\\\\left\{\begin{array}{ccc}3g&=&4t\\g+t&=&112\\\end {array}\right.\\\\\\\left\{\begin{array}{ccc}g&=&\dfrac{4}{3}\\\dfrac{7}{3} t&=&112\\\end {array}\right.\\\\\\\left\{\begin{array}{ccc}t&=&48\\g&=&64\\\end {array}\right.\\

Proof:

16 years ago, Gordan was 48 and Tony 32.

64=2*32

64+48=112

Neporo4naja [7]3 years ago
5 0
Gordan is 67 and Tony is 45 years old
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