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yaroslaw [1]
3 years ago
12

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??
Mathematics
1 answer:
DIA [1.3K]3 years ago
8 0

Answer: 10

<u>Step-by-step explanation:</u>

\text{Younger sister:}\ \dfrac{1}{2}x + 2

Older sister: x


Younger + Older = 26

\dfrac{1}{2}x + 2 + x = 26

x + 4 + 2x = 52   <em>multiplied everything by 2 to clear the denominator</em>

3x + 4 = 52      <em>added like terms</em>    

3x       = 48      <em>subtracted 4 from both sides </em>

 x       = 16       <em>divided both sides by 3</em>


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


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3 years ago
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