The sum of two numbers is 14. the larger number minus three times the lesser number -2. what is the lesser number?

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Respuesta :

Kunchan Kunchan · Answer 1 · 2016-12-21T14:49:13+01:00

Let's take the 2 numbers are a and b.
a + b =14

if a > b
a - 3b = -2

Subtract both numbers
4b = 16
b = 4

lesser number is 4.

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tardymanchester tardymanchester · Answer 2 · 2019-05-31T11:10:22+02:00

Answer:

The lesser number is y=4

Step-by-step explanation:

Given : The sum of two numbers is 14. the larger number minus three times the lesser number -2.

To find : What is the lesser number?

Solution :

Let the two numbers be x and y,

The sum of two numbers is 14

i.e. [tex]x+y=14[/tex] ....(1)

Let x be the larger number and y be the smaller number.

So, the larger number minus three times the lesser number -2

i.e. [tex]x-3y=-2[/tex] ...(2)

Solving equation (1) and (2)

Substitute x from (1) into (2)

[tex]x-3y=-2[/tex]

[tex](14-y)-3y=-2[/tex]

[tex]-y-3y=-2-14[/tex]

[tex]-4y=-16[/tex]

[tex]y=4[/tex]

Put in equation (1)

[tex]x+y=14[/tex]

[tex]x+4=14[/tex]

[tex]x=10[/tex]

Therefore, The lesser number is y=4 and larger number is x=10.