10+18=28
17+11=28
OR
2x=28 where x=14
4x where x=7
Answer:
41 years old.
Step-by-step explanation:
Let x represent age of younger child.
We have been given that a mother has two children whose ages differ by 5 years. So the age of older child would be
.
The sum of the squares of their ages is 97. We can represent this information in an equation as:

Let us solve for x.



Divide both sides by 2:






Since age cannot be negative, therefore, age of younger child is 4 years.
Age of older child would be 
Therefore, the age of older child would be 9 years.
We have been given that the square of the mother's age can be found by writing the squares of the children's ages one after the other as a four-digit number.
Square of 4: 
Square of 9:
.
Square of mother's age: 
To find mother's age, we need to take positive square root of 1681 as:

Therefore, the mother is 41 years old.
Answer:
270 dollars for a year, so 22.50 times 12
Answer:
C-----> x<-7
Step-by-step explanation:
first u do this to turn x in positive and consequently change the > to an <:
(-1).(-4x)>28.(-1)
so:
4x<-28
x<-7
# when multiplying each side by (-1), you have to change the symbol (>) to an (<), or (<) to an (>)