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Age Word Problem





5 years from now Sharon will be twice as old as Tiffany. 

The current sum of the ages of Sharon and Tiffany is 86. 

How old is Tiffany right now?





Sagot :

[tex]Sharon : \ x \ \ years\\Tifany : \ y \ \ years\\\\Sharon : \ \ x + 5 = 2(y+ 5) \\Sharon + Tiffany : \ \ x+y = 86\\\\\begin{cases} x + 5 = 2(y+ 5) \\x+y=86 \end{cases}[/tex]

[tex]\begin{cases} x + 5 = 2 y+ 10 \\ y=86 -x \end{cases}\\\\substitution :\\x+5=2(86-x)+10 \\x+5=172 -2x+10\\ \\x+2x=172+10-5\\3x=177 \ \ / :3\\x=59 \ yares[/tex]

[tex]y=86-x\\y=86-59 \\ \\y= 27 \ yares \\ \\ Answer : \ \ Tiffany \ is \ now \ 27 \ years.[/tex]




86/2=43
43-5=38
38/2=16
16+5=21

answer: 21 y/o