Emelia discovered that if she takes three-fourths of her age and adds 9, it produces the same result as when she takes one-fourth of her age and adds 21. how old is emelia?

24 years old

Step-by-step explanation:

3/4n +9= 1/4n +21

3/4n-1/4n = 21-9

2/4n = 12

2/4 · 4/2n = 12·4/2

n = 24

ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation: