Question

Alyssa is 12 years younger than Michelle. Michelle is 7 years older than twice Amanda's age. the sum of all three ages is 47. How old is Michelle, Alyssa, and Amanda? please answer ASAP! <3

Answer 1

Amanda - 9
Alyssa - 13
Michael- 25

Answer 2

Michelle = 25

Alyssa = 13

Amanda = 9

Explanation:

We will set up equations for this problem to help us solve this problem mathematically. Let x be Alyssa, y be Michelle, and z be Amanda.

[] Alyssa is 12 years younger than Michelle.

x = y - 12

[] Michelle 25 ()is 7 years older than twice Amanda's age.

y = (2x) + 7

[] The sum of all three ages is 47.

x + y + z = 47

You gave that y = 25,

Michelle is 25.

Since we know that Alyssa is 12 years younger than Michelle, we can solve for Alyssa.

x = 25 - 12

x = 13

Alyssa is 13.

Lastly, the sum of all three ages is 47.

x + y + z = 47

13 + 25 + z = 47

z = 9

Amanda is 9.