Let t represent Todd's age now.
.. 4(t -3) -(t -3) = 81 . . . . . . 3 years ago, their differnce in ages was 81.
.. 3t -9 = 81
.. t = (81 +9)/3 = 30
Todd is 30 now.
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You can also work this by considering "ratio units." 3 years ago, the ratio of their ages was 4:1, a difference of 3. That difference corresponds to 81 years, so each "ratio unit" represents 81/3 = 27 years. Todd's age then was 1 ratio unit, 27 years. Now, Todd's age is 30.
Answer:
p=3
Step-by-step explanation:
9p+14=2p+35
Subtract 2p from each side
9p-2p+14=2p-2p+35
7p +14 = 35
Subtract 14 from each side
7p +14-14 = 35-14
7p = 21
Divide by 7
7p/7= 21/7
p=3
Five times the difference of a number n and forty two is ten more than twice the product of a number x and number y
- Five times: 5 ×
- difference of a number n and forty two: (n - 42)
- is: =
- twice the product of a number x and a number y: 2(xy)
- ten more than: + 10
Rewrite the expression into an equation.
<h3>5(n - 42) = 2(xy) + 10</h3>
By viewing equivalent ratios and rates as deriving from, and extending,
pairs of rows (or columns) in the multiplication table and by analyzing
simple drawings that indicate the relative size of quantities.
