SOLUTION: jack is 7 years older than mia. the sum of there ages is 53.how old is jack.
Algebra.Com
Question 1203623: jack is 7 years older than mia. the sum of there ages is 53.how old is jack.
Found 4 solutions by mananth, Alan3354, greenestamps, josgarithmetic:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
jack is 7 years older than mia. the sum of there ages is 53.how old is jack.
Let mia's age be x years
Jack is 7 years older
so his age will be x+7 years
sum of there ages is 53
x+(x+7)=53
2x+7 =53
2x=53-7
2x = 46
x=23
mia is 23 years old
so Jack is 23+7 = 30 years old
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
jack is 7 years older than mia. the sum of there ages is 53.how old is jack.
-------------
J - M = 7
J + M = 53
---------------------- Add
2J = 60
J = 30
M = 23
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
You have received two good formal algebraic solutions, one using two variables and the other using one. I myself nearly always find using a single variable is easier... but it is a personal choice for each student.
If formal algebra is not required, a quick mental solution can be good problem-solving exercise.
The sum of their ages is 53, and one of them is 7 years older than the other.
So subtract 7 from the age of the older person; that subtracts 7 from the sum of their ages.
That leaves you with two people with the same age, and the sum of their ages is 63-7 = 56; so each of them is 56/2 = 28 years old.
Now add the 7 years back on to the older person's age to find the two ages are 28 and 28+7 = 35.
ANSWER: Jack (the older) is 35 years old
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
j for Jack
j-7 for Mia
Sum of their ages is 53.
RELATED QUESTIONS
Jack is 5 years older than his sister. Fifteen years from now the sum of their ages will... (answered by josgarithmetic)
Carl is twice as old as Jack. Ben is five years older than Jack. The sum of the ages of... (answered by josgarithmetic)
Jack is 5 years older than his sister Mary. The sum of their ages is 37. How old is Jack. (answered by rfer,stanbon)
Jack is 5 years older than his sister. The sum of their ages is 21. How old are Jack and... (answered by ikleyn)
Jack is 2 times older than his sister and his father is 25 years older than Jack. All of... (answered by ikleyn)
jack is 8 years older than jill. 7 years from now the sum of their ages will be 64. how... (answered by Stitch)
Kevin is five years older than his younger brother Jack. Their cousin Michael is three... (answered by josmiceli)
jack is 3 years older then his sister jill. the sum of their ages is 45. how old are jack (answered by josmiceli)
Jack is 4 years older than Jill. Seven years from now the the sum of their ages will be... (answered by mananth)