asked 134k views
5 votes
Use the three steps to solve the problem. Mrs. West is 14 years younger than her aunt. If Mrs. West's age in years is as much below 60 as her aunt's age is over 40, how old is each? {aunt's age is __________ a0, Mrs. West's age is __________ a1}

2 Answers

2 votes

Answer:

aunt's age is 57

Mrs. West's age is 43

hope this helps <3

answered
User ILearn
by
8.8k points
0 votes

W=mrs. west's age

A=aunts age

x= the amount of years from 60/40

W=A-14

To find W's age:

W=60-x = If Mrs. West's age in years is as much below 60

A=x+40 = as her aunt's age is over 40

Now, we need to find x: combine equations

(60-x)=(x+40)-14 *remember that W is 14 less than A*

60-x=x+40-14

60-x=x+26

60-60-x=x+26-60

-x=x-34

-x-x=x-34-x

-2x=-34

-2x/-2=-34/-2

x=17

Now plug in x into the age equations

W=60-x

W=60-17

W=43

A=x+40

A=17+40

A=57

conclusion,

Mrs. West is 43 years old while her aunt is 57 years old.


answered
User Platypus
by
7.4k points
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