Age of Ramu is 7 times that of Hari. After10 years, Ramu's age would be 3 times the age of Hari. What are their ages now? 2A) A class has 8 more girls than boys .One day when only 6 boys were absent ,the number of girls was twice that of boys . How many girls and boys are there in the class?
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i) Answer:
5 years, 35 years
Step-by-step explanation:
Taking Ramu's age to be R and Hari's age to be H,
R = 7H (Given)
R + 10 = 3 (H + 10) (Given)
R + 10 = 3H + 30 (Derived)
⇒ 7H + 10 = 3H + 30 (Substituting)
⇒ 4H = 20
⇒ H = 20/4 = 5
⇒ R = 5 * 7 = 35
Hence, Hari is 5 years old and Ramu is 35 years old.
ii) Answer:
20 boys, 28 girls
Step-by-step explanation:
Taking the number of girls to be g and the number of boys to be b,
g = b + 8 (Given)
g = 2(b - 6) (Given)
g = 2b - 12 (Derived)
⇒ 2b - 12 = b + 8 (Subsituting)
⇒ b = 20
⇒ g = 20 + 8 = 28
Hence, there are 20 boys and 28 girls.
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