Question

the sum of two nos. is 2400. if 30% of one no. is equal to 10% of the other find the two nos.

Answer 1

Let one number be x.

The other number is 2400 - x

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Form the equation:

30% of one is equal to 10% of the other.

⇒ 0.3x = 0.1(2400 - x)

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Solve x:

0.3x = 0.1(2400 - x)

0.3x = 240 - 0.1x

0.4x = 240

x = 600

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Find the numbers:

one number = x = 600

the other number = 2400 - x = 1800

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Answer: The numbers are 600 and 1800

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Answer 2

Let the no. be x and y
ATQ x+y=2400
and 30%of x =10%of y
30/100 x= 10 /100 y
3x=y
x+3x=2400
x=600
y=1800