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andriy [413]
3 years ago
15

Three numbers add up to 210. The second number is 10 more than the first and the third number is 3 times the first. Find the num

bers by modelling the problem using an algebraic equation.
Mathematics
1 answer:
svp [43]3 years ago
5 0

Answer:

I. First number, a = 40.

II. Second number, b = 50.

III. Third number, c = 120.

Step-by-step explanation:

Let the three numbers be a, b and c respectively.

Given the following data;

Translating the word problem into an algebraic equation, we have;

a + b + c = 210

b = a + 10

c = 3a

Substituting the value of b and c into the equation, we have;

a + a + 10 + 3a = 210

5a + 10 = 210

5a = 210 - 10

5a = 200

a = 200/5

<em>a = 40</em>

To find the value of b;

b = a + 10

b = 40 + 10

<em>b = 50</em>

To find c

c = 3a

c = 3*40

<em>c = 120</em>

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