Question 133594
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4. I write down 3 consecutive even numbers.  Find the three numbers.
3 consecutive even numbers: x, (x+2), (x+4)
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"6 times the smallest plus 2 times the largest equals seven times the middle number." Solve for x:
6x + 2(x+4) = 7(x+2)
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5. When some cards are dealt to six people, each receives three more than when the same cards are dealt to eight people. how many cards are there?
Let x = number of cards
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{{{x/6}}} = {{{x/8}}} + 3
Multiply equation by 48:
48({{{x/6}}}) = 48({{{x/8}}}) + 48(3)
8x = 6x + 144
8x - 6x = 144
2x = 144
x = 72 cards
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6. John is 'x' years old. his sister mary is 3 year older than john is.
a)write an expression for the sum of their ages
x = J's age; (x+3) = M's age
x + (x+3) = 2x + 3
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b)the difference between their ages. if 4 times the sum of their ages divided by 20 is equal to difference between their ages, find both jons and mary's ages.
{{{(4(2x+3))/20}}} = 3
Multiply equation by 20 to get rid of the denominator
4(2x + 3) = 60
8x + 12 = 60
8x = 60 - 12
8x = 48
x = 48/8
x = 6 J's age; 9 = M's age