SOLUTION: Thank you in advance for your help!!!
Question:
Annilee’s present age is two-thirds of Jessie’s present age. In 12 years the sum of their ages will be 54 years. Find their pr
Algebra ->
Equations
-> SOLUTION: Thank you in advance for your help!!!
Question:
Annilee’s present age is two-thirds of Jessie’s present age. In 12 years the sum of their ages will be 54 years. Find their pr
Log On
Question 934474: Thank you in advance for your help!!!
Question:
Annilee’s present age is two-thirds of Jessie’s present age. In 12 years the sum of their ages will be 54 years. Find their present ages.
My Attempt:
Let a = Annilee's age
j = Jessie's age
Then Annilee's current age is:
a = 2/3 j
Then 12 years into the future Annilee's age will be:
a = 2/3 j + 12
And Jessie's age will be:
j + 12
With the sum of these two ages equaling 54
Therefore, the equation I worked out was:
2/3(j+12) + (j+12) = 54
3[2/3(j+12)] + 3(j+12) = 3(54)
2(j+12) + 3j + 36 = 162
2j + 24 + 3j + 36 = 162
5j + 60 = 162
5j + 60 - 60 = 162 - 60
5j = 102
5j/5 = 102/5
j = 20.4
Therefore, Jessie's present age is 20.4 years and Annilee's present age is:
2/3 * 20.4 = 13.6 years
I don't think my answer is right. Thank you very much for checking it for me
