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Popular Word Problems >

Mark is three times as old as Heaven. Three years ago, Mark was four times as old as Heaven. What is the sum of their ages?

Solution

M a r k i s t h ree t im es a s o l d a s He a v e n . T h ree ye a rs a g o, M a r k w a s f o u r t im es a s o l d a s He a v e n . Wha t i s t h e s u m o f t h e i r a g es ?

Solution

the sum of their ages : 36

Solution steps

Translate the problem into an equation:

3 x - 3 = 4 (x - 3)

Solve for

x, 3 x - 3 = 4 (x - 3) : x = 9

Find the sum of their ages :

36

the sum of their ages : 36

Popular Examples

Elsa is 9 years older than Anna. Five years ago, the sum of their age is 51. What is the present age of Anna?Jamie is 5 years older than Nicole. Two years ago, Jamie was twice as old as Nicole. How old are they now?Mario is twice as old as Peter. The sum of their ages 4 years ago was 37. Find how old they are now Lawrence is 9 years younger than Ariane. If the sum of their ages is 49, how old is Lawrence?Tim is 5 years older than Joann. Six years from now the sum of their ages will be 79. How old are they?