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The sum of the ages of two sisters is 26. The younger sister is 2 more than 1/2 of the older sister’s age.How old is the younger sister??

Respuesta :

tramserran

Answer: 10

Step-by-step explanation:

[tex]\text{Younger sister:}\ \dfrac{1}{2}x + 2[/tex]

Older sister: x


Younger + Older = 26

[tex]\dfrac{1}{2}x + 2 + x = 26[/tex]

x + 4 + 2x = 52   multiplied everything by 2 to clear the denominator

3x + 4 = 52      added like terms    

3x       = 48      subtracted 4 from both sides

 x       = 16       divided both sides by 3


[tex]\text{Younger sister:}\ \dfrac{1}{2}x + 2 = \dfrac{1}{2}(16) + 2 = 8 + 2 = 10[/tex]