Q) Half of the difference between two numbers is 2. The sum of the greater and twice the smaller number is 13. Find the numbers.
Ans:
Step 1:
Let the numbers be x and y.
Here, x is the greater number and y is the smaller number.
Step 2:
by 1st condition, we get:
½ (x- y) = 2
∴ x – y = 4………….. (i)Â
Step 3:
by 2nd condition, we get:
x + 2 y = 13 ………… (ii)Â
Step 4:
By subtracting equations (i) from equation (ii), we get:Â
(x + 2y) – (x – y) = 13 – 4
∴ x + 2y – x + y = 9
∴ 3 y = 9Â
∴ y = 3
Step 5:
By substituting value of y in equation (i), we get:
x = 4 + y
∴ x = 4 + 3
∴ x = 7
Therefore, the numbers are 7 and 3.
Please do press “Heart” button if you liked the solution.Â