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The difference between two natural numbers is 6. Adding 10 to the twice of the larger number,we get 2 less than 3 times of the smaller number. Find these numbers.The area of a rectangle gets increased by 30 square units, if its length is reduced by 3 units andbreadth is increased by 5 units. If we increase the length by 5 units and reduce the breadth by3 units then the area of a rectangle reduces by 10 square units. Find the length and breadth of​

Answer»

Answer:

length =24

breadth = 30

Step-by-step explanation:

LET the first number be a

Second number = a + 6

According to question,

2 ( a + 6) + 10 = 3a - 2

=> 2a + 12 + 10 = 3a - 2

=> 2a + 22 = 3a - 2

=> 22 + 2 = 3a - 2a

=> a = 24

First number = 24

Second number = 24 +6 = 30



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