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2 years ago

The sum of two numbers is 20. The difference

Mathematics

1 answer:

Leno4ka [110]2 years ago

7 0

Hence, the numbers are 16 and 4

Further Explanation:

First of all we have to make the equations from the word problem.

Let x be the first number and y be the second number.

Then,

The sum of two numbers is 20 => x + y = 20 => Eqn 1

The difference between three times the first number and twice the second is 40 => 3x-2y = 40 => Eqn 2

$From\ Eqn\ 1\\x+y=20\\y = 20-x\\Putting\ y=20-x\ into\ Eqn\ 2\\3x - 2(20-x) = 40\\3x-40+2x = 40\\5x-40 = 40\\5x = 40+40\\5x = 80\\\frac{5x}{5} = \frac{80}{5} \\x = 16\\y = 20-x\\y=20-16\\y = 4$

The numbers can be verified:

$x+y = 20\\16+4 =20\\20=20\\$

As the equation is verified by the values of x and y.

Hence, the numbers are 16 and 4

Keywords: Linear equations, Substitution method to solve equations

Learn More at:

#LearnwithBrainly

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3 years ago

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m_a_m_a [10]

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2 years ago

If the sum of three consecutive numbers is 36. Find the numbers.

aleksandrvk [35]

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2 years ago

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2 years ago

A dog won a race at the local fair by running 3 and one fourth miles in exactly 2 hours. At this constant rate, how long does i

Novosadov [1.4K]

Answer:

$\frac{4}{5}$ hour

Step-by-step explanation:

Let x represent time taken by dog to run the 1 and three tenths -mile state fair race.

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Therefore, it will take $\frac{4}{5}$ hour to complete $1\frac{3}{10}$ mile state fair race.

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