Hana T.

asked • 06/07/21

Evan is 46 years older than Autumn. In 12 years Evan will be 3 times Autumn age. How old is each now?

Nisha S.

Hello Hana, The age of Evan and Autumn is 57 and 11 respectively. i have given the detailed explanation. In this question we have two conditions 1- Evan is 46 years older than Autumn 2- after 12yrs Evan will be three times of Autumn age. so lets explain this through an equation let x be the age of Autumn then Evan age will be x+46 A.T.Q (Evan's age) x+46 = x (Autumn age) after 12 years x+46=12 = X+12 ( we added 12 to both sides because both will get older) now (x+46+12) = 3 (X+12) now Evan is 3 times of Autumn so we balance the age of both now solve the equation (x+46+12) =3 (x+12) x+58 = 3x+36 58-36 = 3x-x 22 = 2x x=11 so the age of Autumn is 11 and the age of Evan is 57 (11+46=57). as we assume the age of Autumn is x and Evan is x+46
Report

06/07/21

1 Expert Answer

By:

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.

OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.