7asan
Answered

Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

In 4 years, a mother will be 5 times as old as her daughter. At present, the mother is 9 times as old as the daughter. How old are the mother and the daughter today.

Sagot :

elisaselmani9
4 mother will be 5 times as old as her daughter.
Mother= 9 times as old as the daughter.
4 times 5= 20 mother
9 times 5= 45
Mother=29
daughter=15
iGreen
Set up a system of equations:

y + 4 = 5(x + 4)
y = 9x

Where 'y' represents the mother's age and 'x' represents the daughter's age.

Plug in 9x for 'y' in the first equation:

y + 4 = 5(x + 4)

9x + 4 = 5(x + 4)

Distribute 5 into the parenthesis:

9x + 4 = 5x + 20

Subtract 5x to both sides:

4x + 4 = 20

Subtract 4 to both sides:

4x = 16

Divide 4 to both sides:

x = 4

Plug this into any of the two equations to find 'y':

y = 9x

y = 9(4)

Multiply:

y = 36

So at the present, the daughter is 4 years old and the mother is 36 years old.
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.