Axis is 5 years younger then his brother Aaron. The sum of their ages is 27. Find their ages.

Answer with solution.​


Sagot :

[tex] \large\underline \bold{{SOLUTION}}[/tex]

[tex]\textrm{\underline{Given}}[/tex]

  • [tex]\rm{Axis = x-5}[/tex]
  • [tex]\rm{Aaron = x }[/tex]
  • [tex]\rm{Axis+Aaron = 27}[/tex]

[tex]\textrm{\underline{Solving the System of Linear Equation}}[/tex][tex]\textrm{»By Substitution}[/tex]

[tex]\longmapsto\rm{Axis+Aaron=27}[/tex]

[tex]\longmapsto\rm{x-5+x=27}[/tex]

[tex]\longmapsto\rm{x+x=27+5}[/tex]

[tex]\longmapsto\rm{2x=32}[/tex]

[tex]\longmapsto\boxed{\rm{x=16}}[/tex]

[tex]\textsf{\small{\underline{Substitute the value of x to get their ages}}}[/tex]

[tex]\text{Axis = x-5 $\implies$ 16-5 = \boxed{\textsf{11yrs old}}}[/tex]

[tex]\text{Aaron = x $\implies$ \boxed{\textsf{16 yrs old}}}[/tex]