2 years ago

The difference between two numbers is 10 and their sum is 20. Find the biggest number.

Mathematics

1 answer:

marysya [2.9K]2 years ago

8 0

Answer:

Step-by-step explanation:

x - y = 10, then x = 10 + y

x + y = 20

substitute for x:

10 + y + y = 20

2y = 10

y = 5

x = 10 + 5 = 15

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X/4+5=x/3+10 Solve and check.

Mrrafil [7]

So,

$\frac{x}{4} +5= \frac{x}{3} +10$

To get rid of the fractions, find the LCM of the denominators.

LCM of 4, 3 = 12

Multiply both sides by 12.

3x +60= 4x +120

Subtract 3x from both sides.
60 = x + 120

Subtract 120 from both sides.
x = -60

Check.

$\frac{-60}{4} +5= \frac{-60}{3} +10$

-15 + 5 = -20 + 10

-10 = -10

This checks.

S = {-60}

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