Let, 'X' be the first number and 'Y' be the second number.
Now, it is given that the first number is 120 more than the second number.
⇒ X = Y + 120
⇒ X - Y = 120 ----(1)
It is also given that the average of the two numbers is 80.
⇒=80 ⇒ X + Y = 160 ----(2)
Solve equation (1) and (2), we get,
⇒ X = 140 and Y = 20
Now, add 20 to both the numbers, the new numbers will be
X1 and
Y1.
⇒X1=X+20 ⇒X1=140+20=160 ⇒Y1=Y+20 ⇒Y1=20+20=40 The ratio of both the numbers
X1 and
Y1 will be,
⇒X1:Y1=160:40=4:1 Hence, the correct answer is 4 : 1.