Question

Sum of two numbers is 53 and their
difference is 11. Find out the numbers.
O ​

Answer 1

Answer:

x=32,y=43

Step-by-step explanation:

let the numbers be x &y

According to the problem

x+y=53

x-y=11

+y&-y gets cancel

2x=53+11

2x=64

x=64/2

x=32

x-y=11

32-y=11

32=11+y

32+11=y

43=y

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Answer 2

x=32, y=21

x+ y = 53..... 1

x - y = 11..... 2

x = 11 + y..... from 2..... 3

x + y = 53

Therefore, we get,

11 + y + y = 53

11 + 2y = 53

2y = 42

y = 21

Substitute y = 21 in 1

x + y = 53

x + 21 = 53

x = 32

Therefore the two numbers are 32 and 21.

Check:

21+32=53

32-21=11

Therefore, the answer is correct.

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