Let the Smaller Number be : S
Let the Larger Number be : L
Given : The Sum of Two Numbers is 52
⇒ S + L = 52 --------------- [1]
Given : The Smaller Number is 16 Less than Larger Number.
It Means if we Add 16 to the Smaller Number, It should be Equal to the Larger Number
⇒ S + 16 = L
⇒ S = L - 16 ------------------ [2]
Substituting Equation [2] in Equation [1], We get :
⇒ L - 16 + L = 52
⇒ 2L = 52 + 16
⇒ 2L = 68
⇒ L = 34
Substituting L = 34 in Equation [2], We get :
⇒ S = 34 - 16
⇒ S = 18
⇒ The Larger Number is 34
⇒ The Smaller Number is 18
