When Tammy was 4, the ratio of Tammy's age to fer father's age was 1:7. What will the ratio of their ages be when Tammy's father is 48. If so what would it be in simplest form.
clearly when Tammy was 4, her father was 28
So when her father is 48, (in 20 years), Tammy would be 24
so the ratio of their ages is 24:48 or 1:2
To solve this problem, we can set up a proportion using the information given.
Let x represent Tammy's age when Tammy's father is 48.
According to the information given, when Tammy was 4, the ratio of her age to her father's age was 1:7. This means that her father's age at that time was 7 times Tammy's age.
So, we can set up the proportion:
4/7 = x/48
To solve for x, we can cross-multiply:
4 * 48 = 7 * x
192 = 7x
Dividing both sides by 7, we get:
x = 27.42857
Since we're dealing with ages, we can round this value to the nearest whole number.
Therefore, Tammy's age when her father is 48 would be approximately 27.
The ratio of their ages would be 27:48. To simplify this ratio, we can divide both numbers by their greatest common divisor, which is 3.
So, the simplified ratio of their ages would be 9:16.
To find the ratio of Tammy's age to her father's age, we need to determine their respective ages when Tammy's father is 48.
Let's start by finding Tammy's age when her father is 48.
We know that when Tammy was 4, the ratio of her age to her father's age was 1:7. So, we can set up the following equation:
(Tammy's age) / (Tammy's father's age) = 1/7
Let's call Tammy's age at that time "t" and her father's age "f." We have:
t/7f = 1/7
To find Tammy's age when her father is 48, we need to find t when f = 48.
Let's solve for t:
t/7(48) = 1/7
t/336 = 1/7
To get t alone, we can multiply both sides of the equation by 336:
t = 336/7
t = 48
Therefore, when Tammy's father is 48, Tammy's age will also be 48.
The ratio of their ages will be:
48 : 48
To simplify this ratio, we can divide both sides by their common factor, which is 48:
48/48 : 48/48
1 : 1
Therefore, the ratio of their ages when Tammy's father is 48 is 1:1, which is already in simplest form.