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ZanzabumX [31]
4 years ago
14

the sum of two numbers is 63. the smaller number is 21 less than the larger number. what are the numbers

Mathematics
2 answers:
bonufazy [111]4 years ago
8 0

Answer:

42 and 21

Step-by-step explanation:

Let x and y be the two numbers

the sum of the two numbers is 63

y+x = 63

The difference between the numbers is 21

x-y= 21

so the two equations are :

\left \{ {{x+y=63} \atop {x-y=21}} \right.

add both equations to eliminate y

x+y+x-y = 63+21

2x =84

x= 42

y= 42-21 = 21

the two numbers are 42 and 21

BabaBlast [244]4 years ago
7 0

Answer:

Step-by-step explanation:

I think 21 and 42

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Let's solve this system using the elimination by addition/subtraction method.  Begin by writing the two equations one above the other:

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