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Popular Word Problems >

The sum of the ages of Dakota and Heather is 76 years. 8 years ago, Dakota's age was 4 times Heather's age. How old is Dakota now?

Solution

T h e s u m o f t h e a g es o f D ak o t a an d He a t h er i s 76 ye a rs . 8 ye a rs a g o, D ak o t a^{'} s a g e w a s 4 t im es He a t h e r^{'} s a g e . Ho w o l d i s D ak o t a n o w ?

Solution

Dakota^{'} s age is : 56

Solution steps

Translate the problem into an equation:

x - 8 = 4 (76 - x - 8)

Solve for

x, x - 8 = 4 (76 - x - 8) : x = 56

Dakota^{'} s age is : 56

Popular Examples

Three consecutive integers add up to be 630 . Find these three integers.8 more than a square of a number is double the number minus 3 6 times the sum of a number and 5 is 16 The sum of three consecutive numbers is 41 less than five times the largest number. Find the largest number.eight more than the quotient of a number and 5 is 6