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The ages of three friends Rajesh, Jayant and Basu is 5 ∶ 7 ∶ 3. The age of Jayant 1 year later will be twice the age of Basu 4 years later. Then calculate the sum of the ages of all the three persons 5 years back?1. 90 years2. 100 years3. 110 years4. 115 years5. 130 years |
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Answer» Correct Answer - Option 1 : 90 years Let the age of Rajesh, Jayant and Basu be 5x, 7x and 3x respectively The age of Jayant 1 year later will be twice the age of Basu 4 years later ⇒ 7x + 1 = 2 (3x + 4) ⇒ 7x + 1 = 6x + 8 ⇒ x = 7 Sum of age of all three persons = 5x + 7x + 3x = 15 × 7 = 105 ∴ Sum of age of all three persons 5 years back ⇒ 105 – 3 × 5 = 105 – 15 = 90 ∴ Sum of age of all three persons 5 years back is 90
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