Colin: “When I add 6 times my age 6 years from now to 7 times my age 7 years from now, I get 14 times my current age.
How old will I be 5 years from now?
current age ----- x
6(x+6) + 7(x+7) = 14x
6x+36 + 7x+49 = 14x
85 = x
So 5 years from now, you will be 90
check:
"6 times my age 6 years from now" ----> 6(85+6) = 546
" 7 times my age 7 years from now" = 7(85+7) = 644
546+644 = 1190
14 times his present age = 14(85) = 1190
My answer is correct, according to my interpretation of the question.
this is awesome
Let's break down the information given in the statement and solve it step by step.
1. Let's assume Colin's current age is x.
2. Colin's age 6 years from now will be x + 6.
3. Colin's age 7 years from now will be x + 7.
4. According to the statement, the sum of 6 times Colin's age 6 years from now and 7 times Colin's age 7 years from now is equal to 14 times his current age.
So, we can write the equation as: 6(x + 6) + 7(x + 7) = 14x.
5. Simplify the equation: 6x + 36 + 7x + 49 = 14x.
Combine like terms: 13x + 85 = 14x.
Rearrange the equation: 14x - 13x = 85.
Simplify: x = 85.
6. Colin's current age x is 85 years.
7. Colin's age 5 years from now will be 85 + 5 = 90.
Therefore, Colin will be 90 years old 5 years from now.
To figure out Colin's age 5 years from now, we need to first determine his current age.
Let's assume Colin's current age is x.
According to the given statement, Colin states that the sum of 6 times his age 6 years from now and 7 times his age 7 years from now is equal to 14 times his current age.
So, the equation can be formed as follows:
6(x + 6) + 7(x + 7) = 14x
Now, we can solve for x:
6x + 36 + 7x + 49 = 14x
13x + 85 = 14x
85 = 14x - 13x
85 = x
Colin's current age is 85 years.
Therefore, Colin's age 5 years from now would be:
85 + 5 = 90 years.
Colin will be 90 years old 5 years from now.