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

Question

2 years ago

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1 answer:

Doss [256] · Answer 1 · 2022-05-12T10:25:55+03:00

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

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