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There are three numbers A, B and C. If A is reduced by 5 and B is increased by 5 then their values will be equal. If C is increased by 10 and B is increased by 10 then their values will be equal. If sum of A and C is 450 then find the value of B.
330
220
440
110
550
- The problem involves three numbers: A, B, and C.
- From the first condition: A - 5 = B + 5 --> \( A = B + 10 \)
- From the second condition: C + 10 = B + 10 --> \( C = B \)
- From the third condition: A + C = 450.
Let's solve the equations step by step:
- Substitute \( C = B \) into \( A + C = 450 \).
- So, \( A + B = 450 \).
- We know \( A = B + 10 \), so substitute it in:
- \( (B + 10) + B = 450 \)
- \( 2B + 10 = 450 \)
- \( 2B = 440 \)
- \( B = 220 \)
- Therefore, the correct answer is: Option 2: 220
By: Parvesh Mehta ProfileResourcesReport error
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