The sum of the ages of john and mary is 32. 4 yrs ago, joh was twice as old as mary. find the present age of each.

Make two equations for j = john and m = mary.

j + m = 32

j - 4 = 2m

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Solve for m in the first equation. Subtract j from both sides.

m = 32 - j

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Plug m into the second equation.

j - 4 = 2(32 - j)

Distribute 2 inside the parentheses.

j - 4 = 64 - 2j

Add 4 to both sides.

j = 68 - 2j

Add 2j to both sides.

3j = 68

Divide both sides by 3.

j = 22 2/3

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Plug j into the first equation.

22 2/3 + m = 32

Subtract 22 2/3 from both sides.

m = 9 1/3

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Mary =

John =

60

step-by-step explanation:

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.