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The difference between two numbers is 112. If one number is decreased by 93% and other number is increased by 19% then the numbers obtained are equal. Find the sum of the two numbers.
1. 136
2. 124
3. 138
4. 126

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Correct Answer - Option 4 : 126

Given:

Difference between two numbers is 112.

Calculation:

Let the two numbers be A and B. A decreased by 93% and B is increased by 19%.

According to statement, A × 7/100 = B × 119/100

⇒ A × 1 = B × 17

⇒ A/B = 17/1

⇒ Difference = A – B = 17x – 1x = 16x = 112

⇒ x = 7

Thus, Sum = A + B = 17x + x = 18x = 18 × 7 = 126

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