3 years ago

Find the LCM of each pair of numbers 8 and 9

Mathematics

1 answer:

Nezavi [6.7K]3 years ago

6 0

Answer:

The LCM of 8 and 9 is 72.

Step-by-step explanation:

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The larger of two numbers is eight more than three times the smaller number. The sum of the two numbers is fifty-two. Find the t

Alina [70]

Let $x$ be the larger number and $y$ the smaller number.

The first sentence translates to $x=8+3y$ . The second translates to $x+y=52$ .

Since $x=8+3y$ , you can substitute this into the second equation to get

$(8+3y)+y=4y+8=52\implies 4y=44\implies y=11$

Then substituting this into the original second equation gives

$x+11=52\implies x=41$