Question

Sum of two numbers is 18 and their differences is 8

Answer 1

Answer:

13 + 5 =18

13 - 5 =8

Step-by-step explanation:

x + y = 18

8 + y + y = 18

8 + 2y = 18

2y = 10

y = 5

x + y = 18

x + 5 = 18

X = 13

Sum: 13 + 5 = 18

Difference: 13 - 5 = 8

Answer 2

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$\underline{\blacksquare\:\:\:\footnotesize{\red{SOlutioN}}}$

$\footnotesize{\text{Let , the first number is = x}}$

$\footnotesize{\text{And , the second number is = y}}$

$\footnotesize{\text{According to the 1st condition , }}$

$\footnotesize{x+y=18}$

$\footnotesize{y=18-x} ..................(i)$

$\footnotesize{\text{According to the 2nd condition , }}$

$\footnotesize{x-y=8}$

$\footnotesize{x-(18-x)=8}$

$\footnotesize{x-18+x=8}$

$\footnotesize{2x=8+18}$

$\footnotesize{x=\dfrac{\cancel{26}}{\cancel{2}}}$

$\boxed{\footnotesize{x=13}}$

$\footnotesize{\text{putting the value x=13 in equation (i)}}$

$\footnotesize{y=18-13}$

$\boxed{\footnotesize{y=5}}$

$\therefore\:\:\footnotesize{\text{the numbers are 13 and 5 .}}$

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