Question

The sum of two integers is 15. Twice the first integer is the same as four times the second integer. What are the integers?

Answer 1

Step-by-step explanation:

let two integers be X and Y

given X+Y=15;

given 2X=4Y;

then X=2Y;

so that X+Y=15

2Y+Y=15

3Y=15

Y=5

if Y=5 then X=15-Y

X=15-5

X=10

this may help you

Answer 2

The two integers are 5 and 10

Given:

The sum of two integers is 15

Twice the first integer is the same as four times the second integer

To find:

Two integers

Solution:

Let x and y be the two integers are  

Given sum of two integers = 15

⇒ x + y = 15 ----(1)

Twice the first integer is the same as four times the second integer

⇒ 2x = 4y

⇒ x = 2y -----(2)

Substitute x = 2y in (1)

⇒ x + y = 15  

⇒ 2y + y = 15

⇒ 3y = 15

⇒ y = 5

Substitute y = 5 in (1)

⇒ x + 5 = 15

⇒ x = 15 - 5 = 10

⇒ x = 10

Therefore, the two integers are 5 and 10

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