40% of greater number is equal to 60% of the smaller. If their sum is 150, then the greater number is
Answer & explanation
Correct answer: option 3
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