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Math

QuestionHarry's current age plus his age next year equals 15. How old will he be in 13 years?

Studdy Solution

STEP 1

Assumptions1. Harry's current age is an integer. . The sum of Harry's current age and the age he will be next year is15 years.
3. We are asked to find Harry's age13 years from today.

STEP 2

Let's denote Harry's current age as xx. According to the problem, the sum of Harry's current age and the age he will be next year is15 years. Therefore, we can write the equation asx+(x+1)=15x + (x +1) =15

STEP 3

implify the equation by combining like terms.
2x+1=152x +1 =15

STEP 4

Subtract1 from both sides of the equation to isolate the term with xx.
2x=15−12x =15 -1

STEP 5

Calculate the right side of the equation.
2x=142x =14

STEP 6

Divide both sides of the equation by2 to solve for xx.
x=14/2x =14 /2

STEP 7

Calculate the value of xx.
x=7x =7So, Harry is currently7 years old.

STEP 8

To find out how old Harry will be13 years from today, we add13 to his current age.
Harry′s future age=Current age+13 yearsHarry's\, future\, age = Current\, age +13\, years

STEP 9

Plug in the values for the current age and the number of years to calculate Harry's future age.
Harry′s future age=7+13Harry's\, future\, age =7 +13

STEP 10

Calculate Harry's future age.
Harry′s future age=7+13=20Harry's\, future\, age =7 +13 =20Harry will be20 years old13 years from today.

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