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Question Find Mr. Walters' daughter's age when his son turns 12, given that Mr. Walters is 3 times older than his son and 4 times older than his daughter.

Studdy Solution

STEP 1

Assumptions1. Mr. Walters has only one son and one daughter. . On his son's12th birthday, Mr. Walters will be3 times as old as his son.
3. On his son's12th birthday, Mr. Walters will be4 times as old as his daughter.

STEP 2

Let's denote the son's age as ,thedaughter′sageas, the daughter's age as , and Mr. Walters' age as WW. From the problem, we know that on the son's12th birthday, =12 =12.

STEP 3

From the problem, we also know that on the son's12th birthday, Mr. Walters will be3 times as old as his son. So, we can write this asW=3W =3

STEP 4

Substitute =12 =12 into the equation from3 to find Mr. Walters' age on his son's12th birthday.
W=3×12W =3 \times12

STEP 5

Calculate Mr. Walters' age on his son's12th birthday.
W=3×12=36W =3 \times12 =36

STEP 6

From the problem, we also know that on the son's12th birthday, Mr. Walters will be4 times as old as his daughter. So, we can write this asW=4W =4

STEP 7

Substitute W=36W =36 into the equation from6 to find the daughter's age on the son's12th birthday.
36=436 =4

STEP 8

olve the equation from7 for $$ to find the daughter's age.
=36/4 =36 /4

STEP 9

Calculate the daughter's age on the son's12th birthday.
=36/4=9 =36 /4 =9So, the expression that gives the daughter's age at this time is 36/436 /4 which corresponds to the third option 3×12÷43 \times12 \div4.

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