Question

if the sum of two numbers is 20 and the difference is 8 then the larger number is

Answer 1

Answer:

Hence, the two numbers are 14 and 6. then the larger number is 14.

Explanation:

let both numbers be a and b . According to the problem statement:

a+ b = 20 (Consider this as 1st equation)

a - b = 8 (Consider this as 2nd equation) ,So Add both equations:

a + b + a - b = 20 +8

2× a = 28

a = $\frac{28}{2}$

a = 14

So, from this we get a = 14, put this value in any equation i.e.

a + b = 20 (Put the value of a in this equation)

b = 20-14

b = 6

therefore,

14+ b = 20

So, the numbers are 14 and 6.

If we consider the case i.e. b - a = 8 then the solution will be same and the a number will become 6 and b number will become 14.

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