etion C/-15. The sum ot the ages of a boy and his elder brother is 12

1.	etion C/-15. The sum ot the ages of a boy and his elder brother is 12 years and the sum of the square oftheir ages in 74 (in years). Find their ages.3
Answer» Let the ages be x and y ATQ x+y = 12 ; and x²+y² = 74 => (x+y)² -2xy = 74=> (12)² - 2xy = 74=> 2xy = 144-74 = 70=> xy = 35 now, by hit and trial , xy = 35 = 7×5 so, ages are. 7 years and 5 years

etion C/-15. The sum ot the ages of a boy and his elder brother is 12 years and the sum of the square oftheir ages in 74 (in years). Find their ages.3

Answer»

Let the ages be x and y

ATQ x+y = 12 ; and x²+y² = 74

=> (x+y)² -2xy = 74=> (12)² - 2xy = 74=> 2xy = 144-74 = 70=> xy = 35

now, by hit and trial , xy = 35 = 7×5

so, ages are. 7 years and 5 years