☀️ As per the given information, we know that when we subtract 50 from half of a number the result is 10. In order to find the required number firstly we have to assume the number as a variable. After that, we can find that number by forming an equation according to the question and further solving it.
❍ Then, by solving the equation we have formed according to the given condition of the question we can easily find the required answer.
[tex]{\large{\underline{\underline{\pmb{\frak{Let’s\ understand\ the\ concept:-}}}}}}[/tex]
☀️ As per the given information, we know that when we subtract 50 from half of a number the result is 10. In order to find the required number firstly we have to assume the number as a variable. After that, we can find that number by forming an equation according to the question and further solving it.
❍ Then, by solving the equation we have formed according to the given condition of the question we can easily find the required answer.
[tex]{\large{\underline{\underline{\pmb{\frak{Given:-}}}}}}[/tex]
[tex]{\large{\underline{\underline{\pmb{\frak{To \; Find:-}}}}}}[/tex]
[tex]{\large{\underline{\underline{\pmb{\frak{solution:-}}}}}}[/tex]
~Let the required number be ‘ x ‘
[tex]\underline{\bigstar\:\bf{According\:to\; the\; Question\;:}}[/tex]
[tex]\sf \implies \dfrac{x}{2} – 50 = 10[/tex]
[tex]\sf \implies \dfrac{x- ( 50 \times 2 )}{2} = 10[/tex]
[tex]\sf \implies \dfrac{x-100}{2} = 10[/tex]
[tex]\sf \implies x-100 = 2 \times 10[/tex]
[tex]\sf \implies x – 100 = 20[/tex]
[tex]\sf \implies x = 100 + 20[/tex]
[tex]\boxed{\bf{ \leadsto \;\;\; x = 120 \;\; }}[/tex]
Henceforth,
Answer :
Given :
To find :
Solution :
50 subtracted from half of a number gives 10 so,
》x/2 – 50 = 10
》x – 100 / 2 = 10
》x – 100 = 20
》x = 100 + 20
》x = 120
Hence , Other number is 120
Verification :
》x/2 – 50 = 10
》120/2 – 50 = 10
》60 – 50 = 10
》10 = 10
Hence , Verified