Answer:
Jim is 5
Explanation:
word problems can be sort of like translation questions
'times' means multiply
'as old as' means equal or =
'will be' means equal or =
'more than' means plus or +
when I saw
"Dad is 4 times as old as his son Jim is now"
I knew needed to make
Jim = x &
Dad = 4x
when I saw
"In 10 years, Dad's age will be 20 years more than twice Jim's age"
I knew
'Dad's age' means 4x
'In 10 years' means 10 +
'will be' means equal sign or =
'20 years more than' means 20 +
'twice Jim's age' means 2x
sentence can be re written
4x+10=20+2x
'if D = dad's age now' means 4x=D (Dad)
'J = Jim's age now' means x = J (Jim)
I solved for x
4x+10=20+2x
2x=10
x=5
then I checked the math
today
x = Jim = J = 5
4x = Dad = D = 20
'in 10 years'
Dad is 20 + 10 = 30
means
does 30 = 20 years more than twice Jim's age?
does 30 = 20 + 2x ?
does 30 = 20 + 2(5)?
does 30 = 20 + 10?
does 30 = 30?
yes!
it checks out!