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Josh is 3 years older than Lynette. The sum of their ages is 49. Write expressions for Josh's age and Lynette's age, and use the expressions to write an equation relating their ages. Use the equation to determine Josh's age and Lynette's age.​

Answer :

Answer:

Josh is 26 Lynette is 23

Step-by-step explanation:

I subtracted 3 years from 49 that i got 46, next i split 23 years between them both, finally because josh is older i gave him the 3 years i took.

Josh's age is 26 years and Lynette's age is 23 years.

Since, Josh is 3 years older than Lynette.

Let us consider that Lynette's age is x years .

Then , Josh's age will be, [tex]= (x + 3 )[/tex]

The sum of their ages is 49.

So,    [tex]x + x + 3 = 49[/tex]

           [tex]2x = 49-3 = 46[/tex]

          [tex]x = 46/2 = 23 years[/tex]

Thus,  Lynette's age is, [tex]= x = 23 years[/tex]

          Josh's age will be,[tex]= (x + 3 ) = 23 + 3 = 26 years.[/tex]

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