Respuesta :
Answer:
I believe it would be 90
Step-by-step explanation:
The required age of Mollie's is 32years and age of Heather's is 72years.
Given that,
The ratio of Mollie’s age to Heather’s age is 4:9,
Heather is 40 years older than Mollie.
We have to determine,
How old is Mollie.
According to the question,
The ratio of Mollie’s age to Heather’s age is 4:9,
The age of Mollie's = 4x
And age of Heather's = 9x
Then ,
The age of Mollie is calculated in the following steps.
The difference between the age of both is 40 years
Age of Heather's - Age of Mollie = Difference of their ages
Then,
[tex]= 9x-4x = 40\\\\= 5x = 40\\\\= x = \frac{40}{5} \\\\= x = 8[/tex]
The value of x is 8.
Therefore,
Age of Mollie's = 4x = (4).(8) = 32years
And Age of Heather's = 9x = (9).(8) = 72years
Hence, The required age of Mollie's is 32years and age of Heather's is 72years.
For more information about linear equation click the link given below.
https://brainly.com/question/11897796
