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Popular Word Problems >

A teacher is five times as old as his student. The sum of their ages is 42. Determine the ages of the teacher and the student by setting up and solving a pair of simultaneous equations.

Solution

A t e a c h er i s f i v e t im es a s o l d a s hi s s t u d e n t . T h e s u m o f t h e i r a g es i s 42. De t er min e t h e a g es o f t h e t e a c h er an d t h e s t u d e n t b y se tt in g u p an d so l v in g a p ai r o f s im u lt an eo u s e q u a t i o n s .

Solution

Student^{'} s age is : 7

Teacher^{'} s age is : 35

Solution steps

Translate the problem into an equation:

5 x + x = 42

Solve for

x, 5 x + x = 42 : x = 7

Find age

Student^{'} s age is : 7

Teacher^{'} s age is : 35

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