Two numbers are such that their difference, sum and product are in the ratio 1 : 9 : 60. The larger of the two number will be -
Answer & explanation
Correct answer: option 2
a - b : a + b : a \(\times \) b
1 : 9 : 60
Let a - b = r ----(i)
a + b = 9r ----(ii)
a \(\times \) b = 60r
From eq. (i), (ii)
a = 5r, b = 4r
a \(\times \) b = 20r² = 60r
r = 3
Thus, larger of the number will be a i.e. 5r = 15