Answered

Makakuha ng maliwanag na mga sagot sa iyong mga tanong sa IDNStudy.com. Ang aming komunidad ay handang magbigay ng malalim at maaasahang mga sagot, anuman ang kahirapan ng iyong mga katanungan.

The sum of the ages of a mother and daughter is 39. The mother is 3 years younger than the square of the daughter's age. How old is the mother and daughter?

Sagot :

The12idn

Answer:

The mother is 33 years old, while the daughter is aged 6.

Step-by-step explanation:

  • Interpret the given values into mathematical equations. Let x be the mother's age, and let y be the daughter's age.

"The sum of the ages of a mother and daughter is 39." [Equation 1]
[tex]x+y=39[/tex]

"The mother is 3 years younger than the square of the daughter's age." [Equation 2]
[tex]x=y^2-3[/tex]

  • Since there is an initial value for x, substitute it to equation 1.

[tex]x+y=39\\(y^2-3)+y=39\\y^2+y-3=39\\y^2+y-42=0\\(y+7)(y-6)=0\\\\y=-7 ; y=6[/tex]

  • There is no negative age, hence the daughter's age is 6.
  • To find the mother's age, substitute the daughter's age to any of the two equations.

Via Equation 1:
[tex]x+y=39\\x+6=39\\x=33[/tex]

Via Equation 2:

[tex]x=y^2-3\\x=(6)^2-3\\x=36-3\\x=33[/tex]

  • The mother's age is 33. You may try substituting the values of x and y to Equations 1 & 2 to verify if the solutions of the equations are correct.
Ang iyong presensya ay mahalaga sa amin. Magpatuloy sa pagtatanong at pagbabahagi ng iyong nalalaman. Ang iyong ambag ay napakahalaga sa aming komunidad. Salamat sa pagbisita sa IDNStudy.com. Nandito kami upang magbigay ng malinaw at tumpak na mga sagot.