I am 6 years older than my wife. Our twins go to the local comprehensive school. One of the twins noticed that the sum of their ages divided into the product of my age and the age of my wife is 63.
How old am I?
Need some indication of twins' ages.
There is no twins age given,
sorry, this is the full question
To solve this problem, let's break it down step by step:
Let's assume the age of your wife is x.
Since you are 6 years older than your wife, your age would be x + 6.
The ages of the twins are not given, so let's assume they are y and z.
According to the information given, the sum of their ages divided into the product of your age and your wife's age is 63:
(x + y + z) / (x * y) = 63
Simplifying the equation further:
(x + y + z) = 63 * (x * y)
Now, let's substitute the value of your age (x + 6) into the equation:
(x + 6 + y + z) = 63 * (x * y)
Since the age of each twin is the same, we can assume that y = z.
(x + 6 + 2y) = 63 * (x * y)
Now, we need to find a combination of numbers for y and z (the twins' ages) that satisfies the given equation. We know that the twins go to a comprehensive school, which indicates that both their ages are positive integers.
Since there can be multiple combinations, we can start by checking different values of y and z until we find one that satisfies the equation.
For example, let's assume y = 2 and z = 2:
(x + 6 + 2 + 2) = 63 * (x * 2)
Simplifying the equation:
(x + 10) = 126x
Rearranging the equation:
10 = 125x
x = 10/125
x = 0.08
Since the age of your wife (x) cannot be a fraction or decimal, this combination is not valid.
Let's try another combination. For instance, y = 3 and z = 3:
(x + 6 + 3 + 3) = 63 * (x * 3)
Simplifying the equation:
(x + 12) = 189x
Rearranging the equation:
12 = 188x
x = 12/188
x ≈ 0.064
Again, this combination does not yield a valid age for your wife.
We can continue trying different combinations of values for y and z until we find a valid solution that satisfies the equation.
Please note that the information provided may not have a valid solution based on the ages of the twins and the given equation.