7asanidn
Answered

Get the information you need with the help of IDNLearn.com's expert community. Discover trustworthy solutions to your questions quickly and accurately with help from our dedicated community of experts.

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 :

Elisaselmani9idn
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
IGreenidn
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.
Your presence in our community is highly appreciated. Keep sharing your insights and solutions. Together, we can build a rich and valuable knowledge resource for everyone. IDNLearn.com has the solutions to your questions. Thanks for stopping by, and see you next time for more reliable information.