Sara is 1/4 the age of her father. Sara's father is 60. How many years older than Sara is Sara's father?
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How many years ago was Sara 1/10 of her father's age?
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How old was she then?
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First -- lets find Sara's age. She's 1/4 the age of her father. 1/4 * 60 = 15.
Next -- subtract 15 from 60.
Do the next part by trial and error. Hint: the father's age is probably a number divisible by 10.
If you post your answers, we'll be glad to check them.
How old is Sarah now?
1/4 x 60 = 15. Now you can calculate how much older her father is. That is 60-15 =??
What is 1/10 of her father's age? That is
1/10 x 60 = 10. That's how old she was then. Now you can answer how many years ago that was. Obviously it is 15 age now - 10 years old at 1/10 her fathers age = ??
Ok sorry didn't see all three. the first one is 45 years. my guess would be: he is 50 and she is 5.
I made an error. The first part is ok with the 1/4 x 60 etc and the 60-15 = ?? But the last part has the error. Obviously 1/10 of 60 is NOT 10 so ignore from there on in my response. Sorry about the mixup.
To answer these questions, we can break down the information provided.
First, we're told that Sara is 1/4 the age of her father, who is 60 years old. So we can find Sara's age by dividing her father's age by 4:
Sara's age = 60 / 4
= 15 years old
To find out how many years older Sara's father is than Sara, we can subtract Sara's age from her father's age:
Sara's father's age - Sara's age
= 60 - 15
= 45 years older than Sara
So, Sara's father is 45 years older than Sara.
Now, let's move on to the second question. We're asked how many years ago Sara was 1/10 of her father's age.
To get the answer, we need to figure out the age difference between Sara and her father, which is currently 45 years. We can set up an equation to find out how many years ago Sara was 1/10 of her father's age.
Let's assume that x represents the number of years ago. So, Sara's age x years ago would be (15 - x), and her father's age x years ago would be (60 - x).
According to the question, Sara was 1/10 of her father's age. So we can set up an equation as follows:
(15 - x) = (1/10) * (60 - x)
Next, we can solve this equation to find the value of x, which represents the number of years ago Sara was 1/10 of her father's age.
15 - x = 1/10 * 60 - 1/10 * x
= 6 - 1/10 * x
Now, we can solve for x:
15 - 6 = 1/10 * x - x
= 9 = -9/10 * x
Multiplying by -10 on both sides to get rid of the fraction:
9 * (-10) = -9/10 * x * (-10)
-90 = 9x
Dividing by 9 on both sides:
-90 / 9 = 9x / 9
-10 = x
So, x = -10.
This means that 10 years ago, Sara was 1/10 of her father's age.
Finally, to answer the last question, we need to find out how old Sara was 10 years ago.
Sara's age 10 years ago = 15 - x
= 15 - (-10)
= 15 + 10
= 25 years old.
Therefore, 10 years ago, Sara was 25 years old.