Respuesta :
Answer:
Matt - 38, Pat - 40, Dave - 42 and Dan - 44
Step-by-step explanation:
Lets take Matt's age as x, Pat's age as x + 2, Dave's age as x + 4 and Dan's age as x + 6.
Given, Dan's age is 36 years less than twice Pat's age
Equation:
x+6 = 2(x+2) - 36
= x+6 = 2x + 4 - 36
= x+6 = 2x - 32
= 6+32 = 2x - x
= x = 38
Matt - x = 38
Pat - x+2 = 40
Dave - x+4 = 42
Dan - x+6 = 44
Answer:
Matt = 38, Pat = 40, Dave = 42, Dan = 44
Step-by-step explanation:
Say Matt is x. We already know that Dan's age is 36 less than twice Pat's age so it is written like 2(x + 2) - 36 = x + 6
Simplify to 2x + 4 - 36 = x + 6
Simplify more to x = 38
That means Matt is 38 years old. Since they are consecutive even numbers, then Pat's age is 40, Dave's age is 42, and Dan's age is 44.
