Question

Jamal is 6 years older than Christy. In 8 years the sum of their ages will be 72 . How old is Jamal now? years old

Answer 1

Jamal's current age can be determined by setting up algebraic equations. He is 6 years older than Christy, and together their ages will sum up to 72 in 8 years. Solving these equations reveals that Jamal is 31 years old now.

Step-by-step explanation:

To find out how old Jamal is now, we can set up a couple of algebraic equations based on the information we have. Let J represent Jamal's current age and C represent Christy's current age. According to the problem, Jamal is 6 years older than Christy, so we can write the first equation as:

J = C + 6

In 8 years, the sum of their ages will be 72, which gives us the second equation:

(J + 8) + (C + 8) = 72

We can substitute the first equation into the second to find Christy's age:

(C + 6 + 8) + (C + 8) = 72
2C + 22 = 72
2C = 50
C = 25

Now that we know Christy is 25, we can find Jamal's age by substituting back:

J = C + 6
J = 25 + 6
J = 31

Therefore, Jamal is 31 years old now.