The sum of two numbers is 73. Find the numbers if one number is 15 less than three times the other.
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4 Answers

The sum of two numbers is 73. Find the numbers if one number is 15 less than three times the other.

x + y = 73

(x-15) = 3y  ------> x = 3y + 15

Substitute

(3y + 15) + y = 73

Collect like terms

3y + y = 73 -15 ------> 4y = 58

Divide by 4 to isolate y

4y/4 = 58/4 ------------> y = 14.5

Substitute into given equation x + y = 73

x + 14.5 = 73 ---------------> x = 73 - 14.5 -------> x = 58.5

Thus y = 14.5 and x = 58.5

 

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a+b=73 a= 73-b
a=3*b - 15 73-b=3b - 15
88=4b
b=22 
 
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Get instant help on Math Homework Help

by Level 8 User (30.1k points)
x+y=73...........(1) 3x-y=15........ ...(2)add eqn 1&2 4x=88 x=88/4 x=22 22+y=73 y=73-22 y=51
by Level 4 User (7.5k points)

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