The numerical value of j in the statement "19 over 30 equals j plus 17 over 30" is 2.
What is the numerical value of j?
Given the statement in the question;
19 over 30 equals j plus 17 over 30.
First, we expressed in an algebraic form.
19/30 = ( j + 17 )/30
Solve for j.
19/30 = ( j + 17 )/30
Cross multiply
19 × 30 = 30( j + 17 )
Expand using distributive property
19 × 30 = 30 × j + 30 × 17
570 = 30j + 510
Now, collect like terms and reorder the equation
570 - 510 = 30j
30j = 570 - 510
30j = 60
Divide both sides by the coefficient of j
30j/30 = 60/30
j = 60/30
j = 2
Therefore, the numerical value of j in the statement "19 over 30 equals j plus 17 over 30" is 2.
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