Question

two numbers differ by 3. the sum of the greater number and twice the smaller number is 15. find the smaller number​

Answer 1

Answer:

4

Step-by-step explanation:

let the greater number be x

smaller number = y

Given

x - y = 3

x + 2y = 15

Solution

x = 3 + y

3 + y + 2y = 15

3y = 12

y = 4

Answer 2

Answer:-

Let the numbers be a and b. (a > b)

Given:

Difference between the numbers = 3

⟹ a - b = 3 -- equation (1).

Also,

Sum of the greater number & twice the smaller number = 15

⟹ a + 2b = 15 -- equation (2)

Subtract equation (1) from (2).

⟹ a + 2b - (a - b) = 15 - 3

⟹ a + 2b - a + b = 12

⟹ 3b = 12

⟹ b = 12/3

⟹ b = 4

Therefore, the smaller number is 4.