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1. The sum of two numbers is 23 and difference is 21. What is the smaller of the two numbers?
- A. 4
- B. 4
- C. 4
- D. 4
Answer: Option D
Explanation:
Let's the two numbers are x and y. wher x>y
x + y = 23....(i)
and x - y = 21......(ii)
or, x - y = 21
or, x = 21 + y....(iIi)
replacing x with x = 21 + y in equation (i)
x + y = 23
or,21 + y + y = 23
or, 21 + 2y = 23
or, 2y = 2
∴ y = 1
so, the smallest number is 1
ans: 1
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