40% of greater number is equal to 60% of the smaller. If their sum is 150, then the greater number is

90

Let the greater number be x and the smaller number be y. So, according to the question:

x + y = 150

40 % of x = 60% of y

\(\frac{ x}{ y}\) = \(\frac{ 3}{ 2}\)

We, know that sum is 150 i.e. 5 → 150 so 1 → 30

Therefore, the numbers are = 90 and 60. The greater number is 90