Question

Q3: When a number N is divided in the ratio 2:5:11, the largest number obtained is 820 more than the largest value obtained when divided in the ratio 5:7:13. What is the number? a 12000 b) 10000 c) 9000 d) 8000 ​

Answer 1

Answer:

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Answer 2

Given : When a number N is divided in the ratio 2:5:11, the largest number obtained is 820 more than the largest value obtained when divided in the ratio 5:7:13.

To find :  What is the number

Solution:

Let say Number is  N = 450x

N is divided in the ratio 2:5:11

Then largest Number = ( 11/18) * 450x  =  275x

N is divided in the ratio 5:7:13.

Then largest Number = ( 13/25) * 450x  =  234x

275x - 234x  = 820

=> 41x = 820

=> x = 20

=> 450x  = 450 * 20

=> N = 9000

Number is 9000

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