Matt maximal age= 21.7
I will translate the problem into 2 equation where X is Andy's age and Y is Matt's age.
From this equation, it is clear that you won't be able to find their age. But you can find maximal age of Andy and Matt by changing X+Y<35 into X+Y=35
Inserting the first equation to the second equation you will get:
Let x represent Andy's age.
We have been given that Matt is five years older than twice his cousin Andy’s age.
Then Matt's age would be .
We are also told that the sum of their ages is less than 35.
The sum of Matt and Andy's ages would be
We can represent our given information in an inequality as:
Since Andy cannot be negative, therefore, Andy's age would be greater than 0 and less than 10 years.
Answer : 0<x<10
Matt is five years older than twice his cousin Andy’s age. The sum of their ages is less than 35.
Let x represent Andy's age and y represents Matt's age
Matt's age = 2*Andy's age + 5
y = 2x +5 > first equation
The sum of their ages is less than 35.
So x + y < 35
Replace y by 2x+5
x + y < 35
x + 2x + 5 < 35
3x + 5 < 35 ( subtract 5 on both sides)
3x < 30 ( divide by 3 on both sides)
x < 30
age cannot be negative . so we take x from 0 to 30
Andy’s possible age is 0<x<10
x = 5 + 2y
The second independent equation would be the sum of their ages:
x + y ≤ 35
As you can observe, I used an inequality with the symbol ≤ which means less than or equal to. It means that their sum could be less than or equal to 35. So, the equation is
x + y ≤ 35
Solving the equation,
5 + 2y + y ≤ 35
3y ≤ 35-5
3y ≤ 30
y ≤ 10
Thus, Andy's greatest age could be 10 years old.
If x is 15 or more then their age will be more than 35
the answer is d on edge