Question

Two numbers differ by 3.The sum of twice the smaller number and thrice the great number is 9.Find the number.

Answer 1

Step-by-step explanation:

This is your required answer... Hope it helps

Answer 2

Let :

• 1st number be x
• 2nd number be y

Given :

• x-y = 3 { assuming x is larger }
• 3x + 2y = 9

Solution :

x - y = 3

x = y + 3 ........ equation 1

3x + 2y = 9

putting value of x from equation 1 into above equation, we get;

=> 3(y+3) + 2y = 9

=> 3y + 9 + 2y = 9

=> 5y = 9-9

=> 5y = 0

=> y = 0

putting value of y in equation 1, we get;

x = y + 3

x = 0+3

x = 3

ANSWER :

• x = 3
• y = 0

Verification :

• 3 - 0 = 0 that is x - y = 3

• 3(3)+2(0) = 9+0 = 9 ,that means 3x +2y = 9