Question

please give me the answer please...​

Answer 1

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

1) What should be added to $\sf\:6\frac{3}{4}$ to get 9 ?

2) What should be subtracted from 10 to get $\sf\:3\frac{3}{4}$ ?

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

Concepts to be used :

In order to solve the questions we need to frame an equation for both following the question. Then solving the equation we would get our required answers. So let's do !

1) Assuming x to be the required number.

Now according to the question :

$\sf\:x~+6\frac{3}{4}=9$

$\sf\implies\:x~+\frac{27}{4}=9$

• LCM of 1 and 4 = 4

$\sf\implies\:\frac{4x+27}{4}=9$

• Cross multiplying

$\sf\implies\:4x+27=9 \times 4$

$\sf\implies\:4x+27=36$

• Transposing +27 to RHS it becomes -27

$\sf\implies\:4x=36-27$

$\sf\implies\:4x=9$

• Transposing 4 to RHS it goes to the denominator

$\small{\underline{\boxed{\mathrm\red{\implies\:x=\frac{9}{4}}}}}$ ★

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Verifying :

In order to be sure that 9/4 is the required value we need to plug this value in the equation we had framed earlier. Doing so if we get LHS = RHS our answer would be correct.

Equation : $\sf\:x~+6\frac{3}{4}=9$

• Substituting the value of x

$\sf\longmapsto\:\frac{9}{4}~+6\frac{3}{4}=9$

$\sf\longmapsto\:\frac{9}{4}~+\frac{27}{4}=9$

$\sf\longmapsto\:\frac{9+27}{4}=9$

$\sf\longmapsto\:\frac{36}{4}=9$

$\sf\longmapsto\:\cancel{\frac{36}{4}}=9$

$\sf\longmapsto\:9=9$

$\bf\longmapsto\:LHS=RHS$

$\small\fbox\blue{Hence~Verified~!! }$‎

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2) Assuming x to be the required number.

Now according to the question :

$\sf\:x~-10=3\frac{3}{4}$

$\sf\implies\:x~-10=\frac{15}{4}$

• Cross multiplying

$\sf\implies\:4(x-10)=15$

$\sf\implies\:4x-40=15$

• Transposing -40 to RHS it becomes +40

$\sf\implies\:4x=15+40$

$\sf\implies\:4x=55$

• Transposing 4 to RHS it goes to the denominator

$\small{\underline{\boxed{\mathrm\red{\implies\:x=\frac{55}{4}}}}}$ ★

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Verifying :

In order to be sure that 55/4 is the required value we need to plug this value in the equation we had framed earlier. Doing so if we get LHS = RHS our answer would be correct.

Equation : $\sf\:x~-10=3\frac{3}{4}$

• Substituting the value of x

$\sf\longmapsto\:\frac{55}{4}~-10=3\frac{3}{4}$

$\sf\longmapsto\:\frac{55}{4}~-10=\frac{15}{4}$

$\sf\longmapsto\:\frac{55-40}{4}~=\frac{15}{4}$

$\sf\longmapsto\:\frac{15}{4}~=\frac{15}{4}$

$\bf\longmapsto\:LHS=RHS$

$\small\fbox\blue{Hence~Verified~!! }$

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Required anSwers :

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• $\sf\:\frac{9}{4}$ should be added.

• $\sf\:\frac{55}{4}$ should be subtracted .

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!! Hope it helps !!

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