Question

The sum of two numbers is 119. If 4 times the smaller number is subtracted from the larger number the result is nine. Find a two numbers.

Answer 1

The larger number is 97 and smaller number is 22.

Step-by-step explanation:

Let,

The two numbers are x and y.

According to given statement;

x+y=119      Eqn 1

y-4x=9       Eqn 2

Subtracting Eqn 2 from Eqn 1

$(x+y)-(y-4x)=119-9\\x+y-y+4x=110\\5x=110$

Dividing both sides by 5

$\frac{5x}{5}=\frac{110}{5}\\x=22$

Putting x=22 in Eqn 1

$22+y=119\\y=119-22\\y=97$

The larger number is 97 and smaller number is 22.

Keywords: linear equation, elimination method

Learn more about elimination method at:

• brainly.com/question/10196212
• brainly.com/question/1021953

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