jazzyjas123
Answered

Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Discover comprehensive solutions to your questions from a wide network of experts on our user-friendly platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

The sum of two numbers is 150. The ratio of the same two numbers is 3:2. Find the bigger number. Please show work and explain. (:

Sagot :

naǫ
x, y - the numbers

The sum of two numbers is 150.
[tex]x+y=150 \ \ \ |-y \\ x=150-y[/tex]

The ratio of the two numbers is 3:2.
[tex]\frac{x}{y}=\frac{3}{2} \ \ \ |\times y \\ x=\frac{3}{2}y[/tex]

Set both expressions equal to each other:
[tex]x=x \\ 150-y=\frac{3}{2}y \ \ \ |+y \\ 150=\frac{3}{2}y+y \\ 150=\frac{3}{2}y+\frac{2}{2}y \\ 150=\frac{5}{2}y \ \ \ |\times \frac{2}{5} \\ 150 \times \frac{2}{5}=y \\ 30 \times 2=y \\ y=60 \\ \\ x=150-y=150-60=90[/tex]

The numbers are 60 and 90.
The bigger number is 90.
Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.