Difficulty: Easy
Correct Answer: 1888
Explanation:
Introduction / Context:
This is a straightforward number-system balancing problem. We are given two expressions that must be equal and asked to determine the unknown number that keeps both sides balanced. Such questions test comfort with subtraction and the principle that equal transformations on both sides preserve equality.
Given Data / Assumptions:
Concept / Approach:
If A = B, then we can compute either side and set them equal. Compute the exact numeric value on the left and then solve for the missing amount on the right. The operations are simple subtractions, so accuracy in arithmetic is the key skill here.
Step-by-Step Solution:
1) Evaluate the left side: 36000 − 888 = 35112.2) Set equality: 35112 = 37000 − ?.3) Solve for ?: ? = 37000 − 35112.4) Compute the difference: 37000 − 35112 = 1888.
Verification / Alternative check:
Substitute the result back: 37000 − 1888 = 35112, which matches 36000 − 888. Therefore the computation is consistent and verified.
Why Other Options Are Wrong:
1848: Produces 37000 − 1848 = 35152, which is too large by 40.1978: Produces 37000 − 1978 = 35022, which is too small by 90.2018: Produces 37000 − 2018 = 34982, which is far from 35112.
Common Pitfalls:
Typical mistakes include subtracting in the wrong order, misplacing a borrow during subtraction, or assuming that the difference between 36000 and 37000 (which is 1000) directly yields the answer without accounting for the additional −888 term. Always compute one side fully and then balance the equation.
Final Answer:
1888
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