Question

The sum of two no is 4000.if 15% of one is equal to 25% of the other, find the numbers.

Answer 1

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$\boxed{SOLUTION}$ ➡



Let ,

The numbers be x and y


According to first case,

x + y = 4000

=> y = 4000 - x -------------------------> (1)




Again,

According to second case,

15% of x = 25% of y

=> 15/100 × x = 25/100 × y

=> 15 x / 100 = 25 x / 100

=> 15 x = 25 y [ Multipying both sides by 100 ]

=> 15 x = 25 (4000 - x) [ From (1) ]

=> 15 x = 100000 - 25 x

=> 15 x + 25 x = 100000

=> 40 x = 100000

=> x = 100000 / 40

=> x = 2500



•°• (1) => y = 4000 - x

=> y = 4000 - 2500 [ °•° x = 2500 ]

=> y = 1500



•°• The two numbers are : x = 2500 , y = 1500





$\boxed{ANSWER}$ ➡

2500 and 1500 are the two numbers which sum is 4000 and 15% of one (2500) is equal to the other (1500).

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