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The average of two numbers is 62. If 2 is added to the smallest number, the ratio between the numbers becomes 1 : 2. The difference of the numbers is
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- 62
- 40
- 84
- 44
Correct Option: D
Average of two no's = 62
∴ Sum of the numbers
= 62 × 2 = 124
Sum of the numbers = 124
If the larger number be x, then
smaller number = 124 – x
∴ | = | ||
x | 2 |
⇒ 252 – 2x = x
⇒ 3x = 252 ⇒ x = 84
∴ Smaller number = 124 – 84 = 40
∴ Difference = 84 – 40 = 44