Mathematics

The larger of two numbers is 1 more than twice the smaller. The sum of the numbers is 20 less than three times the larger. Find the numbers.I NEED help please. I'm getting extremely frustrated!!


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annabelle1

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Let x be the larger number; Let y be the smaller number. EQUATIONS: x-2y=1 x+y+20=3x --------- Rewrite as x-2y=1 2x-y=20 ========== Multiply the 1st equation by 2 to get: 2x-4y=2 Subtract this result from the 1st equation to get: 3y=18 y=6 Substitute that into the 1st equation to get: x-2*6=1 x=13 ------- Solution: x=13; y=6

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