This year, when Latifa and Jameel add their ages, the sum is 29. Latifa's age is 10 less than twice Jameel's age. The system of equations that represents this situation is {L+J=29L=2J−10 where L is Latifa's age and J is Jameel's age.
How old is Latifa?
Im confused. HELP??!?!?!?!?!
Jameel is X yrs. old.
Latifa is 2x - 10 yrs. old.
x + (2x - 10) = 29.
3x - 10 = 29,
X = 13.
2x - 10 = 2*13 - 10 = 16. = Latifa's age.
No problem! Let's break down the information given in the problem and solve it step by step.
1. The problem tells us that when Latifa and Jameel add their ages, the sum is 29. So we can write the equation: L + J = 29, where L represents Latifa's age and J represents Jameel's age.
2. The problem also states that Latifa's age is 10 less than twice Jameel's age. We can write this as the equation: L = 2J - 10.
Now we have a system of two equations:
Equation 1: L + J = 29
Equation 2: L = 2J - 10
To solve this system of equations, we can use the method of substitution.
Step 1: Solve Equation 2 for L.
L = 2J - 10
Step 2: Substitute the value of L from Equation 2 into Equation 1.
(2J - 10) + J = 29
Step 3: Simplify the equation.
3J - 10 = 29
Step 4: Add 10 to both sides of the equation.
3J = 39
Step 5: Divide both sides of the equation by 3.
J = 13
Step 6: Substitute the value of J into Equation 2 to find L.
L = 2(13) - 10
L = 26 - 10
L = 16
Therefore, Latifa is 16 years old.