Question

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The sum of two numbers is 44. The smaller number is 14 less than the larger number. What are the numbers?
Larger Number:
Smaller Number:

Answer 1

Larger Number: 29

Smaller Number: 15

Explanation:

By assigning the letters "L" and "S", to the larger number and smaller number respectively, we can solve this using simultaneous equations:

L+S = 44

L-14 = S

By substituting S = L-14 into the first equation, we get:

L+L-14 = 44 (add 14 to both sides)

L+L = 58 ( divide by 2 as L+L becomes 2L)

L=29

When L= 29, S= 29-14 which is 15

Answer 2

Smaller number = 15

Larger number = 29

Explanation:

Let smaller number be S

Let larger number be L

Given :

Sum = 44. That is , S + L = 44

Smaller number is 14 less than larger number. That is , S = L - 14

Therefore the equations are :

S + L = 44 ------(1)

S = L - 14 ------(2)

Substitute (2) in ( 1 )

(L - 14 ) + L = 44

L - 14 + L = 44

2 L = 44 + 14

2 L = 58

L = 29

Substitute L in (1) : S = L - 14 = 29 - 14 = 15