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Ede4ka [16]
2 years ago
11

The sum of two numbers is 56 . one number is 3 times as large as the other. what are the numbers?

Mathematics
1 answer:
KatRina [158]2 years ago
6 0

x+y=56

x=3y

3y+y=56

4y=56

y=14

x=14*3 =42

numbers are 14 & 42

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Answer:

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Step-by-step explanation:

Let x be the amount invested at rate of 8% and y be the amount invested at the rate of 5%.

We have been given that Heather has divided ​$5400 between two​ investments. We can represent this information as:

x+y=5400...(1)

The return on her investment is ​$345.  

Earnings from the investment at 8% will be 8% of x.

Earnings from the investment at 5% will be 5% of y.

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We will use substitution method to solve our system of equations. From equation (1) we will get,

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Substituting this value in equation (2) we will get,

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Therefore, Heather has invested an amount of $2900 at 5%.

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x+2900=5400

x+2900-2900=5400-2900

x=2500

Therefore, Heather has invested an amount of $2500 at 8%.

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