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Q49. Ram is 3 years older than Thoiba. If theage of Ram is 4 times the age of Thoiba fouryears ago, the present age of Ram is |
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Answer» Step-by-step explanation: GIVEN :- Ram is 3 years OLDER than Rohan. Six years ago, Ram’s AGE was four times Rohan’s age TO FIND :- ✳ The present age of Rohan. SOLUTION :- Taking, Ram's present age be x years . Rohan's present age be y years. Situation 1. ⭐ Ram is 3 years older than Rohan. ↗ x = y + 3.........(1) Situation 2. ⭐ Six years ago, Ram’s age was four times Rohan’s age Ram's age = (x–6) years. Rohan's age = (y–6) years. According to the question, ⭐ (x−6) = 4 (y−6) ⟶ x − 6 = 4y − 24 ⟶ x − 4y = − 24 + 6 ⟶ x − 4y = −18.....(2) Putting From 1.in 2 , ⟶ (y + 3) − 4y = − 18 ⟶ − 3y + 3 = − 18 ⟶ − 3y = − 18 − 3 ⟶ −3y = −21 ⟶ y= −21/-3 ⟶ y = 21/3 ⟶ y = 7 Putting y in 1 , ▶ x = y + 3 ▶ x = 7 + 3 ▶ x = 10 ➡ Ram is 10 years OLD & Rohan is 7 year old. |
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