In this question , we are given that sum of two numbers result upto 100 . One number is given as 78.67 . We need to find the other number . So in order to solve this question we will assume some unknown value for the number which we need to find . After doing so we will frame up a equation and solve . Let’s begin !
[tex]\large\sf\underline{Given\::}[/tex]
[tex]\large\sf\underline{To\:find\::}[/tex]
[tex]\large\sf\underline{Understanding\:the\:question\::}[/tex]
In this question , we are given that sum of two numbers result upto 100 . One number is given as 78.67 . We need to find the other number . So in order to solve this question we will assume some unknown value for the number which we need to find . After doing so we will frame up a equation and solve . Let’s begin !
[tex]\large\sf\underline{Assumption\::}[/tex]
Let the required number be :
[tex]\large\sf\underline{Solution\::}[/tex]
◎ [tex]\large{\mathfrak{According\:to\:the\:question:}}[/tex]
Sum of two numbers = 100
[tex]\sf\implies\:x+78.67=100[/tex]
[tex]\sf\implies\:x=100-78.67[/tex]
[tex]\sf\implies\:x=100-\frac{7867}{100}[/tex]
[tex]\sf\implies\:x=\frac{10000-7867}{100}[/tex]
[tex]\sf\implies\:x=\frac{2133}{100}[/tex]
[tex]\large{\mathfrak\red{\implies\:x\:=\:21.33}}[/tex]
______________________
[tex]\large\sf\underline{Verifying\::}[/tex]
[tex]\sf\:x+78.67=100[/tex]
[tex]\sf\implies\:21.33+78.67=100[/tex]
[tex]\sf\implies\:\frac{2133}{100}+\frac{7867}{100}=100[/tex]
[tex]\sf\implies\:\frac{10000}{100}=100[/tex]
[tex]\sf\implies\:\frac{100\cancel{00}}{1\cancel{00}}=100[/tex]
[tex]\sf\implies\:100=100[/tex]
[tex]\small\fbox\blue{Hence\:Verified}[/tex]
[tex]\dag\:\underline{\sf So\:the\:required\:value\:of\:x\:is\:21.33.}[/tex]
!! Hope it helps !!