Easy
The sum of two numbers is 45 and their difference is 11. Find the larger number.
Explanation
Explanation
Step 1: Let the larger number be x and the smaller number be y.
Step 2: Write the two equations: x + y = 45 ... (i) and x − y = 11 ... (ii).
Step 3: Add (i) and (ii): 2x = 56, so x = 28.
Step 4: Put x = 28 in (i): y = 45 − 28 = 17.
Step 5: Check: 28 + 17 = 45 and 28 − 17 = 11. Both conditions are satisfied.
Answer: The larger number is 28.
PRO TIP
Re-check your working by substituting the answer back into the original question.