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Wittaler [7]
3 years ago
5

The difference between five times a number and twice that number

Mathematics
1 answer:
lara31 [8.8K]3 years ago
7 0
<span>The difference between five times a number and twice that number = 15</span>
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If 3/7m = 7/3n, then what is the value of m/n ?
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In a right triangle, one leg measures 4 inches and the other leg measures 6 inches. What is the length of the hypotenuse in inch
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3 years ago
Adele is 5 years older than Timothy. In three years, Timothy will be  of Adele’s age. What is Adele’s current age?
Doss [256]

Answer:

Adele's current age is 12

Step-by-step explanation:

Let a = Adele's current age

Let t = Timothy's current age

Adele is 5 years older than Timothy:

a = t + 5       {equation 1}

In 3 years Timothy will be 2/3 of Adele's age:

(2/3)(a + 3) = t + 3     {equation 2}

Since we are looking for Adele's age, let's rearrange equation 1 to:

t = a - 5

Substitute that into equation 2 and solve for a.

(2/3)(a+3) = a - 5 + 3

(2/3)(a + 3) = a - 2

Multiply through by 3 to clear the fraction

2(a+3) = 3a - 6

2a + 6 = 3a - 6

Add 6 to both sides, subtract 2a from both sides

12 = a

Adele is 12 years old

This means Timothy is 7 years old.

Check equation 2 to verify:

(2/3)(a + 3) = t + 3

(2/3)(12+3) = 7 + 3

(2/3)(15) = 10

10 = 10

5 0
3 years ago
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