Sol1602idn
Answered

IDNStudy.com, ang iyong platform ng sanggunian para sa pangkomunidad na mga sagot. Makakuha ng mabilis at eksaktong sagot sa iyong mga tanong mula sa aming mga eksperto na laging handang tumulong.

the sum of two positive number integers when divided by the smaller gives a quotient of 2 with a remainder of 9. their s is 375. find the two integers.​

Sagot :

Answer:

183 and 192

Step-by-step explanation:

Let the larger number be x and the smaller number be y.

[tex]\frac{x+y}{y} = 2\frac{9}{y}[/tex]

Given that: [tex]x + y = 375[/tex]

So,

[tex]\frac{375}{y} = 2\frac{9}{y}[/tex]

Change 2 and 9/y into an improper fraction

[tex]\frac{375}{y} = \frac{2y+9}{y}[/tex]

Cross multiply

[tex]2y^2 + 9y = 375y[/tex]

[tex]2y^2 - 366y = 0[/tex]

Divide both sides by 2

[tex]y^2 - 183y = 0[/tex]

[tex]y(y-183) = 0[/tex]

y = 0, y = 183

0 cannot be the answer because it doesn't satisfy the equation.

∴ y = 183

Now, lets find x (larger number)

x + y = 375

Substitute the value of y

x + 183 = 375

x = 375 - 183 = 192

Checking:

[tex]\frac{183+192}{183} = \frac{375}{183} = 2[/tex] r. 9

183 + 192 = 375

#CarryOnLearning