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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

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

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?