Question

The sum of two numbers is 107. The larger number is 10 less than twice the smaller number. Find the two numbers

Answer 1

The two numbers are 39 and 68.

Step-by-step explanation:

Let,

Smaller number = x

Larger number = y

According to given statement;

y= 2x-10   Eqn 1

And,

x+y=107   Eqn 2

$Putting\ value\ of\ y\ in\ Eqn\ 2\\x+(2x-10)=107\\x+2x-10=107\\3x-10=107\\Adding\ 10\ on\ both\ sides\\3x-10+10=107+10\\3x=117\\Dividing\ both\ sides\ by\ 3\\\frac{3x}{3}=\frac{117}{3}\\x=39\\Putting\ value\ of\ x\ in\ Eqn\ 2\\39+y=107\\Subtracting\ 39\ from\ both\ sides\\39-39+y=107-39\\y=68$

The two numbers are 39 and 68.

Keywords: Linear equations, multiplication

Learn more about linear equations at:

• brainly.com/question/11007026
• brainly.com/question/11207748

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