Question

How do I write an equation from this word problem?

Answer 1

S=sophies age
l=llucas age
j=jessica's age

j is 6 times of s
j=6s

s is 2 years more than l'
s=2+l

in six years means everybody +6
j+6 is 4 times (l+6)
j+6=4(l+6)


the equations are
j=6s
s=2+l
j+6=4(l+6)

you would subisutte
6s+6=4(l+6)
6(2+l)+6=4(l+6)
undistribute the 2 in each
2(3(2+l)+3)=2(2(l+6))
divide both sides by 2
3(2+l)+3=2(l+6)
distribute
6+3l+3=2l+12
add like terms
9+3l=2l+12
subtract 9 from both sides
3l=2l+3
subtract 2l from both sides
l=3

therefor
s=2+l
s=2+3=5
s=5
6s=j
6(5)=j
j=30



lucas=3
sophie=5
jessica=30