If a number is increased by 84, it becomes 107% of itself. What is that number?

March 19, 2026Mathematics

ScanSolve AI Answer

March 19, 2026

Answer

1200

Step 1: Let the number be $x$ .
When increased by 84, it becomes 107% of itself.

Step 2: Formula:
$x + 84 = \frac{107}{100} x$

Step 3: Subtract $x$ from both sides:
$84 = \frac{107}{100} x - x$
$84 = \left( \frac{107}{100} - 1 \right) x$
$84 = \frac{7}{100} x$

Step 4: Multiply both sides by $\frac{100}{7}$ :
$x = 84 \times \frac{100}{7}$

Step 5: Calculate:
$84 \div 7 = 12$
$12 \times 100 = 1200$
So, $x = 1200$ .

Verification:
$1200 + 84 = 1284$
$107\% of 1200 = 1.07 \times 1200 = 1284$
Correct.

Answer: (4) 1200
1200

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Quick Answer

Let the number be x. When increased by 84, it becomes 107% of itself.

Asked on March 19, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on March 19, 2026

Step 1: Let the number be x. When increased by 84, it becomes 107% of itself. Step 2: Formula: x + 84 = (107)/(100) x Step 3: Subtract x from both sides: 84 = (107)/(100) x - x 84 = ( (107)/(100) - 1 ) x 84 = (7)/(100) x Step 4: Multiply both sides by (100)/(7): x = 84 × (100)/(7) Step 5: Calculate: 84 ÷ 7 = 12 12 × 100 = 1200 So, x = 1200. Verification: 1200 + 84 = 1284 107\% of 1200 = 1.07 × 1200 = 1284 Correct. Answer: (4) 1200 1200