Question

Thomas asked Harry to think of two different numbers such that 30 % of the
greater number is equal to the 50% of the smaller number. If Harry said that
the sum of two numbers is 120, then the greater number he thinks of is:​

Answer 1

Step-by-step explanation:

large number is 105 and smaller number is 15

Answer 2

Dear Student,

◆ Answer -

Greater number = 75

● Explanation -

Let x and y be required numbers such that x > y.

Given that -

30% of x = 50% of y

x × 30/100 = y × 50/100

3x/10 = y/2

y = 3x/5

Also, sum of x & y is 120.

x + y = 120

x + 3x/5 = 120

8x/5 = 120

x = 120 × 5/8

x = 75

Hence, bigger number is 75.

Thanks dear. Hope this helps you...