The total of three sisters' ages is 39. Dina is is half as old as Michelle and 3 years younger than Juliette. How old are the sisters?

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The total of three sisters' ages is 39. Dina is is half as old as Michelle and 3 years younger than Juliette. How old are the sisters?

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Answer 1 · 2016-11-04T01:49:37

Dina $= 9$ $=9$ years old
Michelle $= 18$ $= 18$ years old
Juliette $= 12$ $=12$ years old

Explanation:

Let Michelle's age be $2 x$ $2x$
Given Dina is half as old as Michelle, $\Rightarrow$ $=>$ Dina's age $= x$ $=x$
Given Dina is $3$ $3$ years younger than Juliette,
$\Rightarrow$ $=>$ Juliette'a age $= x + 3$ $=x+3$
Given the sum of the three sisters' age is $39$ $39$ ,
$\Rightarrow 2 x + x + x + 3 = 39$ $=> 2x+x+x+3=39$
$\Rightarrow 4 x + 3 = 39$ $=> 4x+3=39$
$\Rightarrow 4 x = 39 - 3 = 36$ $=> 4x=39-3=36$
$x = \frac{36}{4} = 9$ $x=36/4=9$

Hence, Dina's age $= x = 9$ $=x=9$
Michelle's age $= 2 x = 2 \cdot 9 = 18$ $=2x=2*9=18$
Juliette's age $= x + 3 = 9 + 3 = 12$ $=x+3=9+3=12$

Check :

$9 + 18 + 12 = 39$ $9+18+12=39$ , OK

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The total of three sisters' ages is 39. Dina is is half as old as Michelle and 3 years younger than Juliette. How old are the sisters?

1 Answer

Explanation:

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