Question

Jill , meg and Beth are sisters. Jill is 2 yrs younger than meg . Beth is half as old as meg . let m represent megs age.Write two other algebraic expressions based on this situation . Tell what expression represents, and what the variable stands for in each sentence

Answer 1

jill=j
meg=m
beth=b
jill is 2 years younger than meg
therefor if we add 2 to jill age we get meg's age
j+2=m
beth is 1/2 as old as meg
therefor 1/2 of megs age=beth's age
b=1/2m

j+2=m
b=1/2m

Answer 2

The algebraic expressions are

x = m + 2

`y = (m)/(2)`

Explanation:

As given

Jill , meg and Beth are sisters.

Let m is represented the age of the meg.

Let x is represented the age of the jill.

Let y is represented the age of the Beth.

As given

Jill is 2 yrs younger than meg .

Thus

x = m + 2

As given

Beth is half as old as meg.

Thus

`y = (m)/(2)`

Therefore the algebraic expression are

x = m + 2

`y = (m)/(2)`