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Ralph is 3 times as old as Sara. In 4 years, Ralph will be only twice as old as Sara will be then. Find Ralph's age now.

User Pavlo Zin
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1 Answer

7 votes

Answer:

Explanation:

Let R represent Ralph's age, and let S represent Sara's age.

"Ralph is 3 times as old as Sara" becomes

R = 3S

"In 4 years, Ralph will be only twice as old as Sara will be then" becomes

R - 4 = 2S

***it's negative 4 because they are 4 years away from this relationship, so Ralph is 4 years short of being twice Sara's age***

Solve the second equation for R...

R = 2S + 4

Now since they are both equal to R, they are equal to each other, so we have....

3S = 2S + 4 now solve for S...

S = 4

Since Sara is 4 now, Ralph is

R = 3(4) = 12 years old now

User TvE
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