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andriy [413]
2 years ago
13

One number is larger than another by 9. If the greater number is increased by 10, and the lesser number is tripled, the sum of t

he two would be -41. What are the two numbers
Mathematics
1 answer:
kkurt [141]2 years ago
7 0

Answer:

The larger number is -6, the smaller number is -15

Step-by-step explanation:

We have two numbers, a and b.

We know that one number is larger than another by 9.

Then we can write:

a = b + 9

then a is larger than b by 9 units.

If the greater number is increased by 10 (a + 10) and the lesser number is tripled (3*b), the sum of the two would be -41:

(a + 10) + 3*b = -41

So we got two equations:

a = b + 9

(a + 10) + 3*b = -41

This is a system of equations.

One way to solve this is first isolate one variable in one of the two equations:

But we can see that the variable "a" is already isolated in the first equation, so we have:

a = b + 9

now we can replace that in the other equation:

(a + 10) + 3*b = -41

(b + 9) + 10 + 3*b = -41

now we can solve this for b.

9 + b + 10 + 3b = -41

(9 + 10) + (3b + b) = -41

19 + 4b = -41

4b = -41 -19 = -60

b = -60/4 = -15

b = -15

then:

a = b + 9

a = -15 + 9 = -6

a = -6

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What is the congruence theorem used to prove that the two triangles are congruent?
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Step-by-step explanation:

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Choose the graph below that represents the following system of inequalities: y ≥ −3x + 1 y ≤ 1 over 2x + 3
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The complete question in the attached figures  N 1 and N 2

we have that

<span>the following system of inequalities:
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using a graph tool
see the attached figure N 3

the answer is the option
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It takes 32 hours for a motorboat moving downriver to get from pier A to pier B. The return journey takes 48 hours. How long doe
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Answer:

Time taken by the un powered raft to cover this distance is T = 192.12 hr

Step-by-step explanation:

Let speed of boat = u \frac{km}{hr}

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Because un powered raft travel with the speed of the current.

T = \frac{100}{0.5205}

T = 192.12 hr

Therefore the  time taken by the un powered raft to cover this distance is

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