Question

The sum of the ages of Logan and Emma is 69 years. 9 years ago, Logan's age was 2 times Emma'sage. How old is Logan now?

Answer 1

The sum of ages of Logan and Emma is 69 years. 9 years ago, Logan's age was 2 times Emma's age. To determine Logan's age, we can set up and solve simultaneous equations.

Step-by-step explanation:

Let's assign variables to the ages of Logan and Emma. Let's say Logan's age is L and Emma's age is E.

We are given that the sum of their ages is 69, so we can write the equation: L + E = 69.

We are also given that 9 years ago, Logan's age was 2 times Emma's age. This can be written as: (L - 9) = 2(E - 9).

We can now solve these simultaneous equations using substitution or elimination to find the values of L and E, and hence determine Logan's age.

Answer 2

Let the age of Logan = x, and the age of Emma = y

the sum of the ages = 69 years

so, x + y = 69

9 years ago, Logan's age was 2 times Emma's

so, (x - 9) = 2 (y - 9)

x - 9 = 2y - 18

x = 2y - 9

Substitute with x at the first equation

So,

2y - 9 + y = 69

Solve for y

3y = 69 + 9 = 78

y = 78/3 = 26

x = 69 - 26 = 43

So, Logan's age is 43 years and Emma's age is 26 years