Description
The combined land areas of countries A&B is 147,973 square kilometers.Country A is larger by 573 square kilometers.
Determine the land area of each country.
Explanation & Answer
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Let's write down what we know.
We know we have two countries,
A= country 1
B= country 2
We know that their combined areas is 147,973.
So, A+B=147,973 sq km
We also know that Country A is larger than Country B by 573.
Thus A=B+573
Step 1: Substitute A=B+573 into The first equation
A+B=147973
(B+573)+B=147973 (combine like terms)
2B+573=147973 (Subtract 573 from both sides)
2B=147400 (divide by 2 from both sides)
B=73,700 sq km
Substitute B=73,700 into the first equation to solve for A
A+B=147973
A+73,700=147973 (subtract 73,700 from both sides)
A=74273
Check your work with A=B+573
A=73700+573=74,272 check!
Thus
Country A =74,272 square kilometers
Country B= 73,700 square kilometers.