Question

A number is twice the other number. The sum of four times the smaller number and three times the larger number is 10. Find the numbers.

Please teach me how to do this. I'll give 90 points.

Answer 1

1 and 2

Explanation:

Let the first number be x

Let the other number be y

x = 2y.....eqn 1

From eqn 1, the smaller number is y while the bigger number is x.

3x + 4y = 10.... eqn 2

Substitute x = 2y into eqn 2

3(2y) + 4y = 10

6y + 4y = 10

10y = 10

Divide both sides by 10

y = 10/10

y = 1

Substitute y= 1 into eqn 1

x = 2y

x = 2(1)

x = 2