The sum of two numbers is 107. The larger number is 10 less than twice the smaller number. Find the two numbers
Accepted Solution
A:
The two numbers are 39 and 68.Step-by-step explanation:Let, Smaller number = xLarger number = yAccording to given statement; y= 2x-10 Eqn 1And, x+y=107 Eqn 2[tex]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[/tex]The two numbers are 39 and 68.Keywords: Linear equations, multiplicationLearn more about linear equations at:brainly.com/question/11007026brainly.com/question/11207748#LearnwithBrainly