Question

Liza is 6years younger than her brother nick. if the sum of their ages is 24, how old is liza

Answer 1

Liza would be 9 years old because 9+6=15 . That would mean her brother is 15. Now if you add both of their ages (9 and 15) that would equal to 24.

Answer 2

Using a system of equations, we find that Nick's age is 15 and Liza is 9 years old, since she is 6 years younger and their combined ages total 24.

Step-by-step explanation:

To solve the problem where Liza is 6 years younger than her brother Nick, and the sum of their ages is 24, we need to set up an equation. Let's denote Nick's age as N, which means Liza's age is N - 6. According to the information given,

we can summarize:

N + (N - 6) = 24

Now, let's solve the equation:

• Combine like terms: 2N - 6 = 24
• Add 6 to both sides: 2N = 30
• Divide both sides by 2 to find N: N = 15

Now that we know Nick is 15 years old, we can calculate Liza's age:

Liza's age = N - 6 = 15 - 6 = 9

Therefore, Liza is 9 years old.