Question

James is two years younger than twice his sister Kate’s Age. Together their ages add up to 19. What is each of their ages?

Answer 1

James'age : 12, Kate's age : 7

Further Explanation

One variable linear equation is an equation that has a variable and the exponent number is one. Can be stated in the form:

$\large{\boxed{\bold{ax=b}}}$

ax + b = c, where a, b, and c are constants, x is a variable

Whereas the two-variable linear equation is a linear equation that has 2 variables and the exponent is one

Can be stated in the form:

$\large{\boxed{\bold{ax+by=c}}}$

x, y = variable

In the statement of the task:

• James is two years younger than twice his sister Kate’s Age can be stated in the equation: James (J) = 2K (Kate) - 2  ⇒equation 1

• Together their ages add up to 19. The equation: J + K = 19 .... 2 ---> J = 19 - K  ⇒equation 2

So the solution is:

Equation 2 is entered into equation 1 so that it becomes:

19-K = 2K-2

21 = 3K

K = 7

because J + K = 19, then the value of J = 19-7 = 12

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Keywords : Age, variable, linear equation