Question

Twice Martina's age decreased by

Mario's age is 6. Three times Martina's
age increased by twice Mario's is 23.
What are their ages?

Answer 1

Martina is 5 and Mario is 4

Explanation:

2x -y = 6 multiply through by 2 4x -2y = 12

3x + 2y = 23

Add the two numbers together

4x - 2y = 12

3x + 2y = 23

7x = 35 Divide both sides by 7

x = 5 Marina's age

2x - y = 6 Substitute 5 for x and solve for y

2(5) -y = 6

10 -y = 6 Subtract 10 from both sides

-y = -4 Multiply both sides by -1

y = 4 Mario is 4.