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3 years ago

The sum of two numbers is 278. One number is 52 more than the other number. What are the two numbers

Mathematics

1 answer:

STALIN [3.7K]3 years ago

7 0

Answer:

The numbers are 165 and 113

Step-by-step explanation:

Let

x ----> one number

y ----> the other number

we know that

$x+y=278$ ----> equation A

$x=y+52$ ----> equation B

substitute equation B in equation A

$(y+52)+y=278$

solve for y

$2y=278-52$

$2y=226$

$y=113$

<em>Find the value of x</em>

$x=y+52$

$x=113+52=165$

therefore

The numbers are 165 and 113

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