Question 915947: If Sally is 3 years more than 4 times her youngest child. Together they ad up to 48. How old is Sally ? How old is her youngest daughter?
Answer by josh_jordan(263)   (Show Source):
You can put this solution on YOUR website! To solve, we need to change this word problem into an equation. First, it says that Sally is 3 years more than 4 times her youngest child. Let's use the letter S to represent Sally and y to represent her youngest child. If Sally is 3 years more than 4 times her youngest child, we can set this up as:
S = 3 + 4y
Next, we are told that the sum of their ages is 48. So,
S + y = 48
We can replace S with 3 + 4y, giving us
3 + 4y + y = 48
Next, combine 4y + y, giving us
3 + 5y = 48
Next, we need to isolate the y variable. To do this, we can subtract 3 from both sides of the equation:
3 - 3 + 5y = 48 - 3, giving us
5y = 45
Next, we can divide both sides of the equation by 5:
5y/5 = 45/5, which gives us
y = 9
Therefore, her youngest child is 9 years old. To find Sally's age, we can replace the y in S = 3 + 4y with 9:
S = 3 + 4(9), which gives us
S = 39
Therefore, Sally is 39 years old.
Final Answer: Sally is 39 years old and her youngest daughter is 9 years old.
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