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Nuetrik [128]
3 years ago
7

jamal's age is 3 more than 3 times Mike's age. Mike's age is 17 years less than Jamals agee. What is the sum of the ages of Mike

and Jamal?
Mathematics
2 answers:
Firlakuza [10]3 years ago
3 0

Jamal's age is 24

Mikes age is 7

so their ages together would equal 31

kirill [66]3 years ago
3 0

Answer:

The sum of the ages of Mike and Jamal is 31

Step-by-step explanation:

First we need to translate the questions into mathematical equation and then solve.

Let x be Jamal's age and y be Mike's age.

"Jamal's age is 3 more than 3 times Mike's age" can be written mathematically as;

x =3 + 3y ---------------------------------------------------------------(1)

"Mike's age is 17 years less than Jamal's age" can be written mathematically as ;

y = x - 17  -----------------------------------------------------------------(2)

Substitute equation (1) into equation (2)

y = 3 + 3y - 17

y = 3y - 14

subtract 3y from both-side of the equation

y - 3y = 3y - 3y - 14

-2y = -14

Divide both-side of the equation by -2

\frac{-2y}{-2} = \frac{-14}{-2}

y = 7

Mike is 7 years old

Substitute y = 7 into equation (1)

x = 3 + 3y

   = 3 + 3(7)

   = 3+21

    =24

Jamal is 24 years old

The sum of their ages is = x + y = 24 + 7 = 31

Therefore, The sum of the ages of Mike and Jamal is 31

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