Math

QuestionJohn is 4 years older than Mary. Their ages total 30. What is Mary's age? a. 13 b. 14 c. 17 d. 16

Studdy Solution

STEP 1

Assumptions1. John is4 years older than Mary. . The sum of their ages is30 years.

STEP 2

Let's denote Mary's age as MM. According to the first assumption, John's age can be expressed as M+4M +4.

STEP 3

According to the second assumption, the sum of their ages is30. Therefore, we can create the following equationM+(M+)=30M + (M +) =30

STEP 4

implify the equation by combining like terms.
2M+4=302M +4 =30

STEP 5

To isolate MM, we need to subtract4 from both sides of the equation.
2M+44=3042M +4 -4 =30 -4

STEP 6

implify the equation.
2M=262M =26

STEP 7

To solve for MM, we need to divide both sides of the equation by2.
M=26/2M =26 /2

STEP 8

Calculate the value of MM.
M=26/2=13M =26 /2 =13So, Mary is13 years old.

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