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Popular Word Problems >

the larger of two number is 15 more than three times the smaller number. If the sum of the two numbers is 63, find the numbers

Solution

t h e l a r g er o f tw o n u mb er i s 15 m ore t han t h ree t im es t h e s ma ll er n u mb er . I f t h e s u m o f t h e tw o n u mb ers i s 63, f in d t h e n u mb ers

Solution

The numbers : 51, 12

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x = 15 + 3 y

x + y = 63

x = 15 + 3 y, x + y = 63 : x = 51, y = 12

The numbers : 51, 12

Popular Examples

the sum of three consecutive odd integers is 225. what are the integers the sum of three consecutive integers is 60. find the integers.Tom is 6 years older than his brother Jerry. The sum of their ages is 62.How old is Jerry?bob is 7 years older than jay. in 5 years the sum of their ages will be 53. how old is bob now?Four years ago, Dennis was 3 times as old as his nephew, Richie.How old is Dennis now if the sum of their present ages is 64?