SOLUTION: The sum of Sofia's age and Sonya's age is 65. Eleven years ago, Sonya was seven less than four times as old as Sofia. Find Sofia's age now.

Question 1163711: The sum of Sofia's age and Sonya's age is 65. Eleven years ago, Sonya was seven less than four times as old as Sofia. Find Sofia's age now.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
f, Sofia
n, Sonya

Question asks for Sofia's age. Substitute using in the second equation and solve it for f.

Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
The sum of Sofia's age and Sonya's age is 65. Eleven years ago, Sonya was seven less than four times as old as Sofia. Find Sofia's age now.

Let Sofia's age be S
Then Sonya's is: 65 - S
We then get: 65 - S - 11 = 4(S - 11) - 7
54 - S = 4S - 44 - 7
- S - 4S = - 44 - 7 - 54
- 5S = - 105
Sofia, or
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