divide the number 60 into 2 parts so that if one part is divided by 6 and the other part is divided by 8 the sum of the answer will be 9. both a and b are integers

Question

16-01-2018
Mathematics

contestada

divide the number 60 into 2 parts so that if one part is divided by 6 and the other part is divided by 8 the sum of the answer will be 9. both a and b are integers

Respuesta :

Otras preguntas

Why did the US Congress pass an exclusion act in 1882 barring Chinese immigrants? ecause Chinese immigrants would work for low wages, which labor leaders felt t

-1 6/15 - 7 3/10 what is it as a fraction and decimal

owls and hawks both eat rodents. they are also found in the same habitats. Since no two populations can occupy exactly the same niche, how can owls and hawks co

Which shows all the names that apply to the figure? A. parallelogram, square B. parallelogram, rhombus C. parallelogram, rhombus, square D. parallelogram, r

The Soviet Union misapplied theories of communism. In what way did this contribute to it's collapse?A.The people controlled the economy, and the Communist Party

Which was a strength Andrew Johnson brought to the presidency? A. readiness to compromise B. loyalty to the Union C. willingness to accept advice D. commitment

Which statement best describes the relationship between the Industrial Revolution and mass production in Great Britain? A. The Industrial Revolution began when

Suppose you have read two different books on World War II, and each book has different argumentsabout how old the war started. Which of the following best descr

Im taking a survey for English if you could just answer this yes or no question and give a sentence or two that would be great! Thank you! Do you believe that f

hich of the following is the most important political result of the election of 1800? It proved that the nations who thought the United States would not last we

jdoe0001 jdoe0001 · Answer 1 · 2018-01-16T20:54:15+01:00

if we divide 60 into say hmmm two integers, and those integers are say "a" and "b", then a + b = 60, therefore, a = 60 - b.

[tex]\bf \stackrel{\textit{one part is divided by 6}}{\cfrac{a}{6}}~~+~~\stackrel{\textit{the other part is divided by 8}}{\cfrac{b}{8}}~~=~~9 \\\\\\ \cfrac{60-b}{6}~~+~~\cfrac{b}{8}=9\impliedby \begin{array}{llll} \textit{let's multiply both sides by}\\ \textit{the LCD of 24} \end{array} \\\\\\ 24\left( \cfrac{60-b}{6}~~+~~\cfrac{b}{8} \right)=24(9)\implies 240-4b+3b=216 \\\\\\ -b=-24\implies b=\cfrac{-24}{-1}\implies b=24[/tex]

what's the first integer? well, a = 60 - b.