The product of three numbers is ( - 88 ) .
Answers
Answer:
Step-by-step explanation:
Answer; 10, 34, 44; There are three description of number relationships in this problem. Therefore, we must work with a system of three equations. I will let x, y, z, be the three numbers. The sum of the three numbers; Equation 1) x + y + z = 88; I let x be the number that is twice the average of the other two numbers y and z. the average of two numbers is their sum divided by 2, thus (y + z)/2 ; twice that result is 2(y + z)/2, therefore; Equation 2) x = 2(y + z)/2; then the description that y and z being the other two numbers, their difference is 24, thus Equation 3) y - z = 24 is a way to write this description;
In solving this system; take the three equations and try to solve for one variable in terms of the others. Thus, Equation 3), becomes, y = z + 24; Equation 2) becomes, x = y + z; Thus Equation 1) becomes, (y + z) + (z + 24) + z = 88; replace y with z + 24; then ((z + 24) + z + z + 24 + z = 88; 4z + 48 = 88; 4z = 40, z = 10; substitute into the other equations, 3) y = 34; Equation 2), x = 44; CHECK: thus we see 10 + 34 + 44 does = 88; that average of 10 and 34 is 22, which makes the other number 44 twice that average. All numerical values obtained comply with the number descriptions in the problem
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