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Ratio Chain Beginner-Intermediate Worksheet: Focus on common variations practice Ratio Chain BEGINNER INTERMEDIATE

Level up your Ratio Chain skills! You're at Worksheet 4 of 10 (33% through this series). This step-up challenge worksheet features 20 beginner-intermediate-level problems with a focus on common variations practice. Topics covered: ratio chain for competitive exams, how to solve ratio chain, ratio chain tricks.

📝 Worksheet 4 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner Intermediate level

What you'll learn in this worksheet:
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Worksheet 4 of 10 (33% complete)

Question 1

Pranav is 4 times as old as Thomas. 3 years ago, the sum of their ages was 59. How old is Thomas now?
Let Thomas = x, then Pranav = 4x
3 years ago: (4x - 3) + (x - 3) = 59
(4+1)x - 6 = 59
(5)x = 65
x = 13

Question 2

Christian is 3 times as old as Deepti. 7 years ago, the sum of their ages was 82. How old is Deepti now?
Let Deepti = x, then Christian = 3x
7 years ago: (3x - 7) + (x - 7) = 82
(3+1)x - 14 = 82
(4)x = 96
x = 24

Question 3

Janvi is 2 times as old as Ayush. 5 years ago, the sum of their ages was 35. How old is Ayush now?
Let Ayush = x, then Janvi = 2x
5 years ago: (2x - 5) + (x - 5) = 35
(2+1)x - 10 = 35
(3)x = 45
x = 15

Question 4

Nira is 2 times as old as Ankur. 3 years ago, the sum of their ages was 33. How old is Ankur now?
Let Ankur = x, then Nira = 2x
3 years ago: (2x - 3) + (x - 3) = 33
(2+1)x - 6 = 33
(3)x = 39
x = 13

Question 5

Babita is 2 times as old as Sofia. 4 years ago, the sum of their ages was 55. How old is Sofia now?
Let Sofia = x, then Babita = 2x
4 years ago: (2x - 4) + (x - 4) = 55
(2+1)x - 8 = 55
(3)x = 63
x = 21

Question 6

Levi is 2 times as old as Veena. 5 years ago, the sum of their ages was 44. How old is Veena now?
Let Veena = x, then Levi = 2x
5 years ago: (2x - 5) + (x - 5) = 44
(2+1)x - 10 = 44
(3)x = 54
x = 18

Question 7

Nova is 4 times as old as Daniel. 5 years ago, the sum of their ages was 60. How old is Daniel now?
Let Daniel = x, then Nova = 4x
5 years ago: (4x - 5) + (x - 5) = 60
(4+1)x - 10 = 60
(5)x = 70
x = 14

Question 8

Dylan is 3 times as old as Alexander. 5 years ago, the sum of their ages was 90. How old is Alexander now?
Let Alexander = x, then Dylan = 3x
5 years ago: (3x - 5) + (x - 5) = 90
(3+1)x - 10 = 90
(4)x = 100
x = 25

Question 9

Ratna is 4 times as old as Mahesh. 6 years ago, the sum of their ages was 108. How old is Mahesh now?
Let Mahesh = x, then Ratna = 4x
6 years ago: (4x - 6) + (x - 6) = 108
(4+1)x - 12 = 108
(5)x = 120
x = 24

Question 10

Rani is 3 times as old as Delilah. 7 years ago, the sum of their ages was 66. How old is Delilah now?
Let Delilah = x, then Rani = 3x
7 years ago: (3x - 7) + (x - 7) = 66
(3+1)x - 14 = 66
(4)x = 80
x = 20

Question 11

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

Question 12

Ashwin is 3 times as old as Nolan. 7 years ago, the sum of their ages was 42. How old is Nolan now?
Let Nolan = x, then Ashwin = 3x
7 years ago: (3x - 7) + (x - 7) = 42
(3+1)x - 14 = 42
(4)x = 56
x = 14

Question 13

Nidhi is 4 times as old as Ines. 6 years ago, the sum of their ages was 108. How old is Ines now?
Let Ines = x, then Nidhi = 4x
6 years ago: (4x - 6) + (x - 6) = 108
(4+1)x - 12 = 108
(5)x = 120
x = 24

Question 14

Nidhi is 3 times as old as Brijesh. 6 years ago, the sum of their ages was 44. How old is Brijesh now?
Let Brijesh = x, then Nidhi = 3x
6 years ago: (3x - 6) + (x - 6) = 44
(3+1)x - 12 = 44
(4)x = 56
x = 14

Question 15

Sophie is 4 times as old as Anup. 3 years ago, the sum of their ages was 104. How old is Anup now?
Let Anup = x, then Sophie = 4x
3 years ago: (4x - 3) + (x - 3) = 104
(4+1)x - 6 = 104
(5)x = 110
x = 22

Question 16

Komal is 2 times as old as Deepti. 3 years ago, the sum of their ages was 57. How old is Deepti now?
Let Deepti = x, then Komal = 2x
3 years ago: (2x - 3) + (x - 3) = 57
(2+1)x - 6 = 57
(3)x = 63
x = 21

Question 17

Nolan is 2 times as old as Arianna. 7 years ago, the sum of their ages was 61. How old is Arianna now?
Let Arianna = x, then Nolan = 2x
7 years ago: (2x - 7) + (x - 7) = 61
(2+1)x - 14 = 61
(3)x = 75
x = 25

Question 18

Paresh is 4 times as old as Chaman. 4 years ago, the sum of their ages was 117. How old is Chaman now?
Let Chaman = x, then Paresh = 4x
4 years ago: (4x - 4) + (x - 4) = 117
(4+1)x - 8 = 117
(5)x = 125
x = 25

Question 19

Deepa is 3 times as old as Esha. 7 years ago, the sum of their ages was 50. How old is Esha now?
Let Esha = x, then Deepa = 3x
7 years ago: (3x - 7) + (x - 7) = 50
(3+1)x - 14 = 50
(4)x = 64
x = 16

Question 20

Sienna is 3 times as old as Isaac. 4 years ago, the sum of their ages was 72. How old is Isaac now?
Let Isaac = x, then Sienna = 3x
4 years ago: (3x - 4) + (x - 4) = 72
(3+1)x - 8 = 72
(4)x = 80
x = 20
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