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Ratio Chain - Intermediate Level: tricky scenarios handling Ratio Chain INTERMEDIATE

This expert challenge 📈 worksheet focuses on Ratio Chain - a key topic in Age Based Puzzles. You'll solve 20 intermediate-level problems (Worksheet 5 of 10). The primary focus is on tricky scenarios handling. Master how to solve ratio chain, ratio chain tricks, and ratio chain shortcut methods through systematic practice.

📝 Worksheet 5 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Ratio Chain
Worksheet 5 of 10 (44% complete)

Question 1

Leon is 2 times as old as Paridhi. 6 years ago, the sum of their ages was 33. How old is Paridhi now?
Let Paridhi = x, then Leon = 2x
6 years ago: (2x - 6) + (x - 6) = 33
(2+1)x - 12 = 33
(3)x = 45
x = 15

Question 2

Siddharth is 3 times as old as Abhay. 3 years ago, the sum of their ages was 62. How old is Abhay now?
Let Abhay = x, then Siddharth = 3x
3 years ago: (3x - 3) + (x - 3) = 62
(3+1)x - 6 = 62
(4)x = 68
x = 17

Question 3

Andre is 4 times as old as Raul. 4 years ago, the sum of their ages was 67. How old is Raul now?
Let Raul = x, then Andre = 4x
4 years ago: (4x - 4) + (x - 4) = 67
(4+1)x - 8 = 67
(5)x = 75
x = 15

Question 4

Shivam is 2 times as old as Simran. 6 years ago, the sum of their ages was 45. How old is Simran now?
Let Simran = x, then Shivam = 2x
6 years ago: (2x - 6) + (x - 6) = 45
(2+1)x - 12 = 45
(3)x = 57
x = 19

Question 5

Ian is 2 times as old as Tucker. 5 years ago, the sum of their ages was 62. How old is Tucker now?
Let Tucker = x, then Ian = 2x
5 years ago: (2x - 5) + (x - 5) = 62
(2+1)x - 10 = 62
(3)x = 72
x = 24

Question 6

Renu is 2 times as old as Arthur. 4 years ago, the sum of their ages was 67. How old is Arthur now?
Let Arthur = x, then Renu = 2x
4 years ago: (2x - 4) + (x - 4) = 67
(2+1)x - 8 = 67
(3)x = 75
x = 25

Question 7

Aparna is 4 times as old as Sanjit. 3 years ago, the sum of their ages was 89. How old is Sanjit now?
Let Sanjit = x, then Aparna = 4x
3 years ago: (4x - 3) + (x - 3) = 89
(4+1)x - 6 = 89
(5)x = 95
x = 19

Question 8

Rachit is 3 times as old as Brooklyn. 7 years ago, the sum of their ages was 54. How old is Brooklyn now?
Let Brooklyn = x, then Rachit = 3x
7 years ago: (3x - 7) + (x - 7) = 54
(3+1)x - 14 = 54
(4)x = 68
x = 17

Question 9

Pranav is 4 times as old as Sangeeta. 3 years ago, the sum of their ages was 84. How old is Sangeeta now?
Let Sangeeta = x, then Pranav = 4x
3 years ago: (4x - 3) + (x - 3) = 84
(4+1)x - 6 = 84
(5)x = 90
x = 18

Question 10

Sanjay is 2 times as old as Victor. 6 years ago, the sum of their ages was 27. How old is Victor now?
Let Victor = x, then Sanjay = 2x
6 years ago: (2x - 6) + (x - 6) = 27
(2+1)x - 12 = 27
(3)x = 39
x = 13

Question 11

Amara is 3 times as old as Ritu. 7 years ago, the sum of their ages was 86. How old is Ritu now?
Let Ritu = x, then Amara = 3x
7 years ago: (3x - 7) + (x - 7) = 86
(3+1)x - 14 = 86
(4)x = 100
x = 25

Question 12

Theodore is 2 times as old as Asha. 3 years ago, the sum of their ages was 39. How old is Asha now?
Let Asha = x, then Theodore = 2x
3 years ago: (2x - 3) + (x - 3) = 39
(2+1)x - 6 = 39
(3)x = 45
x = 15

Question 13

Tarun is 4 times as old as Rahul. 6 years ago, the sum of their ages was 103. How old is Rahul now?
Let Rahul = x, then Tarun = 4x
6 years ago: (4x - 6) + (x - 6) = 103
(4+1)x - 12 = 103
(5)x = 115
x = 23

Question 14

Satish is 4 times as old as Sophie. 3 years ago, the sum of their ages was 69. How old is Sophie now?
Let Sophie = x, then Satish = 4x
3 years ago: (4x - 3) + (x - 3) = 69
(4+1)x - 6 = 69
(5)x = 75
x = 15

Question 15

Harsh is 4 times as old as Shravan. 5 years ago, the sum of their ages was 115. How old is Shravan now?
Let Shravan = x, then Harsh = 4x
5 years ago: (4x - 5) + (x - 5) = 115
(4+1)x - 10 = 115
(5)x = 125
x = 25

Question 16

Naomi is 4 times as old as Manish. 7 years ago, the sum of their ages was 71. How old is Manish now?
Let Manish = x, then Naomi = 4x
7 years ago: (4x - 7) + (x - 7) = 71
(4+1)x - 14 = 71
(5)x = 85
x = 17

Question 17

Bhaskar is 3 times as old as Alexander. 6 years ago, the sum of their ages was 84. How old is Alexander now?
Let Alexander = x, then Bhaskar = 3x
6 years ago: (3x - 6) + (x - 6) = 84
(3+1)x - 12 = 84
(4)x = 96
x = 24

Question 18

Henry is 4 times as old as Bryson. 3 years ago, the sum of their ages was 64. How old is Bryson now?
Let Bryson = x, then Henry = 4x
3 years ago: (4x - 3) + (x - 3) = 64
(4+1)x - 6 = 64
(5)x = 70
x = 14

Question 19

Shiva is 3 times as old as Amira. 5 years ago, the sum of their ages was 70. How old is Amira now?
Let Amira = x, then Shiva = 3x
5 years ago: (3x - 5) + (x - 5) = 70
(3+1)x - 10 = 70
(4)x = 80
x = 20

Question 20

Christopher is 3 times as old as Allison. 7 years ago, the sum of their ages was 74. How old is Allison now?
Let Allison = x, then Christopher = 3x
7 years ago: (3x - 7) + (x - 7) = 74
(3+1)x - 14 = 74
(4)x = 88
x = 22
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