Math, asked by manojkumar3189, 11 months ago

the greater of two number is12 more than the smaller and the sun of the two number is 10. find the number. pls solve this question

Answers

Answered by dhruvbadaya1

Let the numbers be x and y

x-y=12.........1

x+y=10........2

Adding 1 and 2

x+y+x-y=12+10

2x+y-y=22

2x=22

x=11

y=x-12=11-12=-1

Therefore, the numbers are -1 and 11

dhruvbadaya1: We have taken the numbers as X and Y. We know that difference between then is 12. Therefore, x-y=12 OR x-12=y. We also know that their sum is 10. Therefore, x+y=10

dhruvbadaya1: We have added these two. x-y=12 and x+y=10. We get x-y+x+y=12+10. Now, we add like terms together

manojkumar3189: thank you for your answer

dhruvbadaya1: x+x=2x and y+(-y) =y-y=0

dhruvbadaya1: Therefore, 2x+0=12+10

dhruvbadaya1: 2x=22, or, x=11

dhruvbadaya1: Again we know that x+y=10

dhruvbadaya1: 11+y=10

dhruvbadaya1: y=10-11

dhruvbadaya1: y=-1

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