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Mr. GLENN, Math/Stat Expert

Category: Pre-Calculus

Satisfied Customers: 801

Experience: math professor for at least 15 yrs

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I have a problem i cant figure out. The sum of two numbers

Customer Question

i have a problem i cant figure out. The sum of two numbers is 15. Three times one of the numbers is 11 less than five times the other. Find the numbers. JA: The Math Tutor can help you get an A on your homework or ace your next test. Tell me more about what you need help with so we can help you best. Customer: i figure it would be something like a + b = 15 JA: Is there anything else important you think the Math Tutor should know? Customer: 3a = 5b - 11

Solution: . a + b = 15 -> equation 1 5a - 3b = 11 -> equation 2 . multiply equation one by 3 both sides, you will get 3(a + b) = 3(15) --> 3a + 3b = 45 . then add this to equation two: . 3a + 3b = 45 + 5a - 3b =11 ------------------------- 8a = 56

divide both sides by 8: . 8a = 56 8a/8 = 56/8 a = 7 . back substitute a = 7 in the original equation one: . a + b = 15 if a = 7, then 7 + b = 15 b = 15 - 7 b = 8

answers: a = 7, b = 8 .

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