Question

(iii)
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:

$smaller \: number = 4.$

Step-by-step explanation:

$x - y = 3 \\ \\ x + 2y = 15 \\ \\ subtracting \: these \: equations \\ \\ \\ \\ \\ 3y = 12 \\ \\ y = 4 \\ \\ x = 3 + 4 = 7 \\ \\ \\ smaller \: number = 4.$

Answer 2

Step-by-step explanation:

Let the greater number be x

Smaller number= x–3

As sum of greater number and twice the smaller number is 15,

x+2(x–3)=15

x+2x–6=15

x+2x=15+6

3x=21

x=21÷3

x=7

Greater number (x)=7

Smaller number (x–3)= 7–3= 4

Therefore, Greater number is 7 and smaller number is 4