math

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.

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1. smaller ----- x
larger ------ x+6

Just translate the English into Math:

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

solve for x

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2. let the smaller number be x. Then the larger number will be x+6. Now according to the question;
2(x+6) +10=3x-2
2x+ 12+ 10=3x-2
3x-2x=12+10+2
x=24 and the larger number will be (24+6)=30.

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