Seven-tenths of a number decreased by thirteen is equal to three-tenths the number increased by 13. find the number.

Create an equation from the word problem. 'of' indicates multiplication, 'decreased' indicates subtraction, 'increased' indicates addition. Let's use 'x' for the number.



Now solve for 'x'. Subtract 3/10x to both sides:



Add 13 to both sides:



Divide 4/10 to both sides or multiply by its reciprocal, 10/4:

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