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Popular Word Problems >

Martha is 3 years older than Pia. Joan is 3 times older than Martha. 3 years ago, the sum of their ages is 63. Find their ages now.

Solution

M a r t ha i s 3 ye a rs o l d er t han P ia . J o an i s 3 t im es o l d er t han M a r t ha . 3 ye a rs a g o, t h e s u m o f t h e i r a g es i s 63. F in d t h e i r a g es n o w .

Solution

Martha^{'} s age is : 15

Joan^{'} s age is : 45

Pia^{'} s age is : 12

Solution steps

Translate the problem into an equation:

x - 3 + x - 3 - 3 + 3 x - 3 = 63

Solve for

x, x - 3 + x - 3 - 3 + 3 x - 3 = 63 : x = 15

Find age

Martha^{'} s age is : 15

Joan^{'} s age is : 45

Pia^{'} s age is : 12

Popular Examples

Find the area of a circle with circumference of 11pi feet.If two dice are rolled, what is the probability of getting a sum of 7?Garlin is 8 years older than Lu. In 7 years the sum of their ages will be 60. How old is Garlin now?:4:years old Translate the following to an algebraic expression: number increased by eleven is negative four.Twice the difference of a number and 4 is 12 more than 7 times the number.:Find the number.