kiaria is 7 years alder tham jay . martha is twice as old as kiaria , the sum of their three ares is 7u , find the ratio of jay,s age to kiatias age to marhas age
Accepted Solution
A:
Answer:The ratio of Jay's age to Kiaria's age to Martha's age is 1: 2 : 4.Step-by-step explanation:Here, let us assume the age of jay = u yearsSo, the age of Kiaria = Age of Jay + 7 = u + 7And, the age of Martha = 2 x ( age of Kiaria) = 2 ( u + 7)Now, the sum of the ages = 7 u⇒ (u) + (u + 7) + 2 ( u + 7) = 7 uor, u + u + 7 + 2 u + 14 = 7 uor, 4 u + 21 = 7 u ⇒ 3 u = 21 or u = 21/3 = 7⇒ u = 7 yearsHence, the age of Jay = m = 7 yearsAge of Kiaria = m + 7 = 7 + 7 = 14 yearsAge of Martha =2 ( m+7) = 2 ( 7 +7) = 28 yearsSo, the ratio of Jay's age to Kiaria's age to Martha's age is 7: 14: 28 = 1: 2 : 4 Hence, the final ratio of the ages is 1: 2 : 4.