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Popular Word Problems >

4 years from now, Matthew will be 2 more than twice Andrew's age. 5 years ago, Matthew was three times Andrew's age. Let Andrew's age be x. Determine Andrew's current age.

Solution

4 ye a rs f ro m n o w, M a tt h e w w i ll b e 2 m ore t han tw i ce A n d re w^{'} s a g e . 5 ye a rs a g o, M a tt h e w w a s t h ree t im es A n d re w^{'} s a g e . L e t A n d re w^{'} s a g e b e x . De t er min e A n d re w^{'} s c u rre n t a g e .

Solution

Andrew^{'} s age is : 16

Solution steps

Translate the problem into an equation:

x + 4 = 2 + 2 (y + 4), x - 5 = 3 (y - 5)

x + 4 = 2 + 2 (y + 4), x - 5 = 3 (y - 5) : x = 38, y = 16

Andrew^{'} s age is : 16

Popular Examples

The product of four more than a number and nine is fifteen.The sum of the squares of two consecutive even integers is 1684 The sum of three consecutive integers is 258. List the numbers from smallest to largest:alan is 5 times the age of his son tom. in 6 years he will be 3 times the age of tom. How old is alan now six times the sum of a number and 3 is 7