Question

The sum of two numbers is 18. The sum of the greater number and twice the smaller number is 25. Find the numbers.

Answer 1

The smaller number is 7 and the greater number is 11.

Step-by-step explanation:

Let,

x be the smaller number

y be the greater number

According to given statement;

x+y=18     Eqn 1

y+2x=25    Eqn 2

Subtracting Eqn 1 from Eqn 2

$(y+2x)-(x+y)=25-18\\y+2x-x-y=7\\x=7$

Putting x=7 in Eqn 1

$7+y=18\\y=18-7\\y=11$

The smaller number is 7 and the greater number is 11.

Keywords: numbers, linear equation

Learn more about linear equations at:

• brainly.com/question/11203617
• brainly.com/question/11253316

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