Chapter – 6 Ratio and Applications Complete 6th, 7th, 8th and 9th problems in Exercise - 1
Answers
Answer:
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Step-by-step explanation:
Shubham’s age today is 12 years and his father’s is 42 years. Shubham’s mother is younger than his father by 6 years. Find the following ratios.
(1) Ratio of Shubham’s age today to his mother’s age today.
(2) Ratio of Shubham’s mother’s age today to his father’s age today
(3) The ratio of Shubham’s age to his mother’s age when Shubham was 10 years old.
ANSWER:
Shubham’s age today = 12 years
Shubham’s father age today = 42 years
∴ Shubham’s mother age today = Shubham’s father age today − 6 years = 42 years − 6 years = 36 years
(1)
Ratio of Shubham’s age today to his mother’s age today = Shubham’s age today : Shubham’s mother age today
= 12 years : 36 years
= 1236
= 12÷1236÷12 (HCF of 12 and 36 = 12)
= 13
= 1 : 3
Thus, the ratio of Shubham’s age today to his mother’s age today is 13 or 1 : 3.
(2)
Ratio of Shubham’s mother’s age today to his father’s age today = Shubham’s mother age today : Shubham’s father age today
= 36 years : 42 years
= 3642
= 36÷642÷6 (HCF of 36 and 42 = 6)
= 67
= 6 : 7
Thus, the ratio of Shubham’s mother’s age today to his father’s age today is 67 or 6 : 7.
(3)
Difference between the present age of Shubham and when he was 10 year old = 12 years − 10 years = 2 years
∴ Shubham's mother age when Shubham was 10 years old = 36 years − 2 years = 34 years
Ratio of Shubham’s age to his mother’s age when Shubham was 10 years old
= 10 years : 34 years
= 1034
= 10÷234÷2 (HCF of 10 and 34 = 2)
= 517
= 5 : 17
Thus, the ratio of Shubham’s age to his mother’s age when Shubham was 10 years old is 517 or 5 : 17.
Answer:
7) Length of the rectangle 40cm
width of the rectangle 20cm
ratio of length And width 40cm: 20cm
=40/20=2/1=2:1
8) Garden snail =50m
=50/100 Km/hours
=1/2 Km/hour
Cheetah = 120km/hour
Ratio of their speed =1/20:120
=1/20×20:120×20
=1:2400
9i) the ratio of boys And girls in my classroom is 32:23
