Kelcey is 45. She is also three more than three times Emily's age. How old is Emily?

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Answer 1 · 2018-03-27T12:52:12

K #=45# and E. and Emiliy is 14 years old.

K is for Kelcey's age (what a name LOL) and E is for Emily's age.

#K=45 = (3timesE)+3#

#45-3 = (3timesE)#

#42=3timesE#

#42/3 = 14 = E#

Emily is 14 years old.

Answer 2 · 2018-03-27T12:53:28

Emily is #14# years old.

Let #K# be the age of Kelcey and #E# be the age of Emily.

"Kelcey is #45#":

#K = 45#

"Kelcey is also three more than three times Emily's age":

#K = 3 + 3E#

We can now write:

#45 = 3+3E#

Solving for #E#:

#45 - 3 = 3 + 3E - 3#

#42 = 3E#

#42/3 = (3E)/3#

#14 = E#

Hence, Emily is #14# years old.