age word problems

Jane is twice a old as Joel. If their ages total 63, how old is Joel? Joel = j Jane = 2j j + 2j = 63 3j = 63 Divide each side by 3: 3j/3 = 63/j Cancel the 3's on the left side: j = 21

you must be 65 or older to join inequality Let a be the age. 65 or older means greater than or equal to 65: a >=65

Ana was y years old 7 years ago. Represent her age twenty years from now twenty years from now, means we add 7 years to get to now and another 20 years to get to twenty years from now: y + 7 + 20 y + 27

Casey is 26 years old. Her daughter Chloe is 4 years old. In how many years will Casey be double her daughter's age Declare variables for each age: Let Casey's age be c Let her daughter's age be d Let n be the number of years from now where Casey will be double her daughter's age We're told...

Nancy is 10 years less than 3 times her daughters age. If Nancy is 41 years old, how old is her daughter? Declare variables for each age: Let Nancy's age be n Let her daughter's age be d We're given two equations: n = 3d - 10 n = 41 We set 3d - 10 = 41 and solve for d: Solve for d in the...

A man's age (a) 10 years ago is 43. Years ago means we subtract a - 10 = 43 If the problem asks you to solve for a, we type this equation into our math engine and we get: Solve for a in the equation a - 10 = 43 Step 1: Group constants: We need to group our constants -10 and 43. To do that...

If you divide my brother's age by 3 and then add 20, you will get my age, which is 31. What is my brothers age? Let b be the brother's age. We're given the following relationship for the brother's age and my age: b/3 + 20 = 31 Subtract 20 from each side: b/3 + 20 - 20 = 31 - 20 Cancel the...

a son is 1/4 of his fathers age. the difference in their ages is 30. what is the fathers age. Declare variables: Let f be the father's age Let s be the son's age We're given two equations: s = f/4 f - s = 30. The reason why we subtract s from f is the father is older Using substitution, we...

The mean age of 10 women in an office is 30 years old. The mean age of 10 men in an office is 29 years old. What is the mean age (nearest year) of all the people in the office? Mean is another word for average. Mean age of women = Sum of all ages women / number of women We're told mean age of...

In 8 years kelly's age will be twice what it is now. How old is kelly? Let Kelly's age be a. In 8 years means we add 8 to a: a + 8 Twice means we multiply a by 2: 2a The phrase will be means equal to, so we set a + 8 equal to 2a a + 8 = 2a To solve this equation, we type it in our math...

kate is twice as old as her sister mars. the sum of their ages is 24. find their ages. Let k be Kate's age Let m be Mars's age We're given two equations: k = 2m. (Because twice means multiply by 2) k + m = 24 Substitute equation (1) for k into equation (2): 2m + m = 24 T o solve for m, we...

A man is four time as old as his son. How old is the man if the sum of their ages is 60? Let the son's age be a. Then the man's age is 4a. If the sum of their ages is 60, we have: a + 4a = 60 To solve this equation for a, we type it in our math engine and we get: a = 12 Therefore, the man's...

Mr. Tan has two daughters. His elder daughter is 1/3 of his age while his younger daughter is 1/4 of his age. If Mr. Tan’s age is 60, how old are his elder and youngest daughter? Let Mr. Tan's age be a. We're given: Elder Daughter's age = 60/3 = 20 years old Younger Daughter's age = 60/4 = 15...

Cam is 3 years older than Lara. If their combined age is 63, determine their ages by solving an appropriate pair of equations. Let Cam's age be c. Let Lara's age be l. We're given two equations: c = l + 3 (Since older means we add) c + l = 63 To solve this system of equations, we...

A woman is one-half as old as her mother. The sum of their ages is 75. What are their ages? Let the woman's age be w. Let the mother's age be m. We're given two equations: w = m/2 m + w = 75 Substitute equation (1) into equation (2) for w: m + m/2 = 75 To solve for m, we type this equation...

Zyrelle is now 20 years older than her sister. Find the present age of Zyrelle Let Zyrelle's age be z. Let her sister's age be s. Older means we add, so we have: z = s + 20

The sum of Jocelyn and Joseph's age is 40. In 5 years, Joseph will be twice as Jocelyn's present age. How old are they now? Let Jocelyn's age be a Let Joseph's age be b. We're given two equations: a + b = 40 2(a + 5) = b + 5 We rearrange equation (1) in terms of a to get: a = 40 - b 2a = b...

John is y years old. Sarah is 9 years older than John. How old is Sarah Older means we add, so we have Sarah's age s as: s = y + 9

Nio is 20 years old and his brother Miguel is 8 years old. How old was Miguel when Nio is only 15? Nio is 20. 20 - 15 is 5 years ago. So Miguel's age 5 years ago is: 8 - 5 = 3

Paul’s age is 7 years younger than half of Marina’s age. Express their ages. Assumptions: Let Paul's age be p Let Marina's age be m Our expression is: p = 1/2m - 7