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Kay [80]
1 year ago
8

Cameron is older than Hassan. Their ages are consecutive integers. Find Cameron's

Mathematics
1 answer:
Alexxandr [17]1 year ago
6 0

Answer:

25

Step-by-step explanation:

So consecutive integers, just means they're separated by a value of 1. This can be generally expressed as "a, a+1" where these two values would be consecutive integers assuming "a" is an integer.

So let's express Hassan's age as the variable "x", since it's unknown. Since Cameron is older, and by definition of a consecutive integer, Cameron's can be expressed as "x+1"

So the equation we need to set up is Cameron's age + 5(Hassan's age) = 145

So we can substitute the variables we defined to express Cameron and Hassan's age: (x+1) + 5(x) = 145

Distribute the 5: x+1+5x

Add like terms: 6x+1 = 145

Subtract 1 from both sides: 6x=144

Divide both sides by 6: x=24

Since we used "x" to represent Hassan's age, Hassan's age is 24. Since we used "x+1" to represent Cameron's age, Cameron's age is "24+1" which is just 25

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