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IRISSAK [1]
2 years ago
8

Define the variables for the situation. Then enter an equation.

Mathematics
1 answer:
svp [43]2 years ago
8 0

Answer:

<u>Definitions of the variables in the situation:</u>

J = Jana's age

S = Sister's age

<u>The Equation:</u>

J + 8 = S

Step-by-step explanation:

<u>Explanation: </u>

In the equation we will use the variable J for Jana and S for Janna's sister. Since we know Jana's age plus 8 equals her sister's age, the equation will be J + 8 = S

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Ralph is 3 times as old as Sara. In 6 years , Ralph will be only twice as old as Sara will be then. Find Ralph’s age now .
Delvig [45]

Answer:

Ralph's current age is 18.

Step-by-step explanation:

Let r and s represent the current ages of Ralph and Sara respectively.  Our task here is to determine r, Ralph's age now.

If Ralph is 3 times as old as Sara now, then r = 3s.

Six years from now, Ralph's age will be r + 6 and Sara's will be s + 6.  Ralph will be only twice as old as Sara will be then.  This can be represented algebraically as

r + 6 = 2(s + 6).

We now have the following system of linear equations to solve:

r + 6 = 2s + 12, or r - 2s = 6, and r = 3s (found earlier, see above).

r - 2s = 6

r = 3s

Substituting 3s for r in r - 2s = 6, we get 3s = 2s + 6, or s = 6.  Sara is 6 years old now, meaning that Ralph is 3(6 years), or 18 years old.

Ralph's current age is 18.


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Step-by-step explanation:

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