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Paladinen [302]
3 years ago
8

the difference between two numbers is 4. three times the smaller number is equal to two times the larger less two. find the numb

ers
Mathematics
1 answer:
Doss [256]3 years ago
3 0

The larger number is 10 and smaller number is 6.

Step-by-step explanation:

Given,

The difference between two numbers = 4

Let,

x be the larger number.

y be the smaller number.

According to given statement;

x-y=4     Eqn 1

3y=2x-2   Eqn 2

Multiplying Eqn 1 by 3

3(x-y=4)\\3x-3y=12\ \ \ Eqn\ 3

Putting value of 3y from Eqn 2 in Eqn 3

3x-(2x-2)=12\\3x-2x+2=12\\x=12-2\\x=10

Putting x = 10 in Eqn 2

3y=2(10)-2\\3y=20-2\\3y=18

Dividing both sides by 3

\frac{3y}{3}=\frac{18}{3}\\y=6

The larger number is 10 and smaller number is 6.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/11149751
  • brainly.com/question/11155478

#LearnwithBrainly

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