Question

out of the two num 65% of the smaller num is equal to 45% of the larger number.if the sum of the numbers is 2574,then what is the value of larger number​

Answer 1

Answer:

1053 and 1521

Step-by-step explanation:

Let the smaller number be x and the larger number be y

B/Q

65/100*x=45/100*y

=>65x=45y

=>13x=9y

=>x=9/13y

But,x+y=2574

=> 9/13y+y=2574

=>y=2574*13/22

=1521

So x=1053

Answer 2

The value of larger number is 1521.

Step-by-step explanation:

Let the larger number be 'x'.

Let the smaller number be 2574 - x

Since 65% of smaller number is equal to 45% of larger number.

so, According to question, it would be

$\dfrac{65}{100}(2574-x)=\dfrac{45}{100}x\\\\65(2574-x)=45x\\\\167310-65x=45x\\\\167310=45x+65x\\\\167310=110x\\\\x=\dfrac{167310}{110}\\\\x=1521$

Hence, the value of larger number is 1521.

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