mary is x years old. it is her birthday today. her sister, sherry is 4 years older than she is. after 7 years their combined age will be 24 years write a liner=ar equation for their combined age after 7 years
mary is now --- x
sherry is now --- x+4
7 years from now:
mary --- x+7
sherry --- x=4 + 7 = x+11
x+7 + x+11 = 24
I will let you solve it
x=4
To write a linear equation for the combined age of Mary and Sherry after 7 years, let's break down the information given.
1. Mary's age is represented by x.
2. It is Mary's birthday, so her age after 7 years will be x + 7.
3. Sherry is 4 years older than Mary, so Sherry's age after 7 years will be x + 7 + 4.
4. The combined age of Mary and Sherry after 7 years will be 24.
Based on the information above, we can construct the equation:
Mary's age after 7 years + Sherry's age after 7 years = Combined age after 7 years
(x + 7) + (x + 7 + 4) = 24
Simplifying the equation:
2x + 18 = 24
Therefore, the linear equation for the combined age of Mary and Sherry after 7 years is 2x + 18 = 24.