[tex]Let \: Megan's \: age = x[/tex]
[tex]Then \: Becky's \: age \: will \: be = 2x - 5[/tex]
[tex]Sum \: of \: their \: age = 62[/tex]
This can be written in an equation as :
[tex] x + 2x - 5 = 62[/tex]
[tex] 3x - 5 = 62[/tex]
[tex] 3x = 62 - 5[/tex]
[tex]3x = 57[/tex]
[tex]x = \frac{57}{3} [/tex]
[tex]x = 19[/tex]
[tex]Megan's \: age = x = 19[/tex]
[tex]Becky's \: age = 19 \times 2 - 5[/tex]
[tex] = 38 - 5[/tex]
[tex]Becky's \: age = 33[/tex]
∴ Megan's age is 19 and Becky's age is 33 .
