Question

The sum of two numbers is 100. If one of them is 78.67, find the other.​

Answer 1

$\large\sf\underline{Given\::}$

• Sum of two numbers = 100

• One number = 78.67

‎

‎

$\large\sf\underline{To\:find\::}$

• The other number

‎

‎

$\large\sf\underline{Understanding\:the\:question\::}$

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 !

‎

‎

$\large\sf\underline{Assumption\::}$

Let the required number be :

• x

‎

‎

$\large\sf\underline{Solution\::}$

◎ $\large{\mathfrak{According\:to\:the\:question:}}$

Sum of two numbers = 100

‎

• Substituting the given value and the assumed value

‎

$\sf\implies\:x+78.67=100$

‎

• Transposing 78.67 in the other side

‎

$\sf\implies\:x=100-78.67$

‎

• Converting the decimal number into fraction form

‎

$\sf\implies\:x=100-\frac{7867}{100}$

‎

• Finding LCM of 1 and 100 in RHS side

‎

$\sf\implies\:x=\frac{10000-7867}{100}$

$\sf\implies\:x=\frac{2133}{100}$

‎

• Converting the fraction into decimal form

‎

$\large{\mathfrak\red{\implies\:x\:=\:21.33}}$

‎ ______________________

‎

$\large\sf\underline{Verifying\::}$

$\sf\:x+78.67=100$

‎

• Substituting the value of x

‎

$\sf\implies\:21.33+78.67=100$

‎

• Converting decimal into fraction form

‎

$\sf\implies\:\frac{2133}{100}+\frac{7867}{100}=100$

‎

• LCM of 100

‎

$\sf\implies\:\frac{10000}{100}=100$

$\sf\implies\:\frac{100\cancel{00}}{1\cancel{00}}=100$

$\sf\implies\:100=100$

$\small\fbox\blue{Hence\:Verified}$

‎

‎

$\dag\:\underline{\sf So\:the\:required\:value\:of\:x\:is\:21.33.}$

‎

‎

!! Hope it helps !!