kpw2217p4qm55 kpw2217p4qm55
  • 26-02-2018
  • Mathematics
contestada

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

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iGreen
iGreen iGreen
  • 26-02-2018
Create an equation from the word problem. 'of' indicates multiplication, 'decreased' indicates subtraction, 'increased' indicates addition. Let's use 'x' for the number.

[tex]\sf\dfrac{7}{10}x-13=\dfrac{3}{10}x+13[/tex]

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

[tex]\sf\dfrac{4}{10}x-13=13[/tex]

Add 13 to both sides:

[tex]\sf\dfrac{4}{10}x=26[/tex]

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

[tex]\sf x=\boxed{\sf 65}[/tex]
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