SOLUTION: The sum of 4 times Joan's age and 3 times Jim's age is 47. Jim is 1 year less than twice as old as Joan. Find their ages.
Algebra.Com
Question 179299: The sum of 4 times Joan's age and 3 times Jim's age is 47. Jim is 1 year less than twice as old as Joan. Find their ages.
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Let x=Joan's age; 4 times Joan's age=4x
Then 2x-1=Jim's age; 3 times Jim's age=3(2x-1)=6x-3
Now we are told that:
4x+6x-3=47 add 3 to each side
4x+6x-3+3=47+3 collect like terms
10x=50 divide each side by 10
x=5--------------------------------Joan's age
2x-1=2*5-1=9-----------------------Jim's age
CK
4*5 +3*9=47
20+27=47
47=47
Hope this helps---ptaylor
RELATED QUESTIONS
The sum of 4 times Joan's age and 3 times Jim's age is 47. Jim is 1 year less than twice... (answered by josmiceli,solver91311)
The sum of 4 times joans age and 3 times jim's age is 47. Jim is 1 yea
r less than twice (answered by mananth)
The sum of 4 times Joan's age and 5 times Larry's age is 37. Larry is 1 year less than... (answered by ewatrrr)
Mary is the younger than her sister Joan. The sum of their age is 15. Twice Joan’s age... (answered by marcsam823)
Mary is the younger than her sister Joan. The sum of their age is 15. Twice Joan’s age... (answered by checkley77)
Sue and Joan are sisters. Joan is 7yrs. older than sue. In 3 yrs. joan’s age will be... (answered by Alan3354)
Six years ago Jim was 5 times as old as Henry and in 6 years Jim’s age will be 3 times... (answered by Alan3354)
Three times the sum of Jim’s and Tom’s ages is equal to twelve times the difference of... (answered by josgarithmetic)
Joan 3 times as old as her sister. In 3 years, she will be two more than twice the age of (answered by ikleyn,josgarithmetic)