Explanation:
Hey there!
According to the question,
Let the unknown number be x (smaller) another number be y (greater) respectively.
1st condition: One number is 7 more than twice of another number.
(i.e y = 2x+7)....... (i)
2nd condition: The sum is 22.
(i.e X+y= 22)……(ii)
From equation (ii).
x+ y= 22
x= 22-y
Putting the value of X in eqaution (I)
y = 2(22-y)+ 7
y = 44 - 2y +7
3y = 44+7
y = 51/3
Therefore, y= 17.
Now, Putting the value of y in eqaution (ii)
X = 22-y
x = 22-17
Therefore, x= 5.
Therefore, one number is 17. (Option D).
Hope it helps....