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3 years ago

What number when multiplied by 5 is one third of the sum of 64 and 56?

Mathematics

1 answer:

Nookie1986 [14]3 years ago

6 0

Answer:

Step-by-step explanation:

Create an expression to model the situation. One can do this by simply rewriting the written expression in terms of numbers and variables. Use the variable (x) to represent the unknown value.

$5(x)=\frac{1}{3}(64+56)$

Simplify this expression,

$5(x)=\frac{1}{3}(64+56)\\5x=\frac{1}{3}(120)\\5x=40\\$

Use inverse operations to solve for (x),

$5x=40\\x=8$

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The sum of a 3 digit number and a 1 digit number is 217. The product of the numbers is 642. If one number is between 200 and 225

algol [13]

Let, the numbers be "x" and "y". Consider "x" as the triple digit number.
Now, according to the question,
x + y = 217..........................equation (1)

x * y = 642............................equation (2)

Now,
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Now, Taking equation (1),
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Substituting the value of y from equation (3), we get,

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Using zero product property,
EITHER,
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Taking equation (2),
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Substituting the value of "x" in the equation, we get,
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What number when multiplied by 5 is one third of the sum of 64 and 56?​

What number when multiplied by 5 is one third of the sum of 64 and 56?