Question

WILL MARK BRAINLIEST A granddaughter's age in months is equal to her grandmother's age in years. The sum of the granddaughter's age in years and the grandmother's age in years is 65. Find the grandmother's age in years.

Answer 1

Answer:

m = 60 years

Step-by-step explanation:

granddaughter's age in months is equal to her grandmother's age in years

d = m

The sum of the granddaughter's age in years and the grandmother's age in years is 65

d/12 + m = 65

Substitute

m/12 + m = 65

(13/12)m = 65

multiply both sides by 12/13

m = 65 * 12/13

m = 60 years

Answer 2

Answer:

60 years

Step-by-step explanation:

Let the age of grandmother be x years

So, age of granddaughter = x months = x/12 years

According to the question:

The sum of the granddaughter's age in years and the grandmother's age in years is 65.

$x + \frac{x}{12} = 65 \\ \\ \frac{12x + x}{12} = 65 \\ \\ \frac{13x}{12} = 65 \\ \\ x = 65 \times \frac{12}{13} \\ \\ x = 60$

Thus, the age of grandmother is 60 years.