Question

Jasmyn is 4 years older than Sofie. three times Jasmyn age added to six times Sophie's age is 36. How old are Jasmyn and Sofie?

Answer 1

Sophie is 2 and 8 months old

Jasmyn is 6 and 8 months old

Explanation:

j = 4 + s

3j + 6s = 36

Solve for Sophie's age by substitution:

3(4 + s) + 6s = 36

12 + 3s + 6s = 36

12 + 9s = 36

9s = 24

s = 24/9 = 8/3 or 2 and 2/3

Sophie is 2 and 8 months old

Solve for Jasmyn's age:

j = 4 + s

j = 4 + 8/3

j = 12/3 + 8/3

j = 20/3 or 6 and 2/3

Jasmyn is 6 and 8 months old

I hope this helps!