Question

32. The average of two numbers is 45. If 3 added to smaller no then the ratio between them is 11:20
find the larger no
(a) 40
(b) 60 (c) 30 (d) 70 (e) None of these​

Answer 1

Answer:

Larger number is 60

Step-by-step explanation:

Let the numbers be a,b

Given that average of a &b = 45

ie. (a+b)/2 = 45

a+b = 90

a = 90-b

Let a be the smaller number

when a is added by 3 the ratio becomes 11:20

ie. (a+3)/b = 11/20

20(a+3) = 11b

20a+60 = 11b

20(90-b)+60 = 11b

1800-20b+60 = 11b

1860 = 31b

b = 60

a= 90-60 = 30