Question

Please give me the answer.
I will mark Brainliest if you give correct and detailed answer. ​

Answer 1

Answer:

$\large\mathbf \red{\underline{\underline{\maltese{{Given:}}}}}$

• The product of three numbers is $7 \dfrac{1}{2}$ .
• The two numbers are $1 \dfrac{1}{7}$ and $3 \dfrac{3}{4}$

$\large\mathbf \red{\underline{\underline{\maltese{{To \: Find :}}}}}$

• Third number

$\large\mathbf \red{\underline{\underline{\maltese{{Solution:}}}}}$

$\bigstar \: \underline \frak{ \pmb{Let \: the \: third \: number \: be \: x}}$

• $\rightarrow \sf{1st \: number = 7 \dfrac{1}{2}}$
• $\rightarrow \sf{2nd \: number = 3 \dfrac{3}{4} }$
• $\to \sf{3rd \: number = x}$

${\bigstar \: \underline \frak{\pmb{According \: to \: the \: question }}}$

$: \implies \sf{1 \dfrac{1}{7} \times 3 \dfrac{3}{4} \times x = 7 \dfrac{1}{2}}$

$: \implies \sf{\dfrac{8}{7} \times \dfrac{15}{4} \times x = \dfrac{15}{2}}$

$: \implies \sf{ \dfrac{8 \times 15}{7 \times 4} \times x = \dfrac{15}{2}}$

$: \implies \sf{ \dfrac{120}{28} \times x = \dfrac{15}{2}}$

$: \implies \sf{ x = \dfrac{15}{2} \times \dfrac{28}{120} }$

$: \implies \sf{ x = \cancel \dfrac{420}{240} }$

$: \implies \sf{ x = \dfrac{7}{4} }$

$: \implies \sf{ x =1.75}$

$\bigstar\underline{\boxed{\sf \red{ x =1.75 \: or \: \dfrac{7}{4} }}}$

• $\bf{The \: value\: of \: x\: is \: 1.75\: or \: \dfrac{7}{4}}$

$\large\mathbf \red{\underline{\underline{\maltese{{Verification:}}}}}$

$: \implies \sf{1 \dfrac{1}{7} \times 3 \dfrac{3}{4} \times x = 7 \dfrac{1}{2}}$

• Substituting the value of x = $\dfrac{7}{4}$

$: \implies \sf{1 \dfrac{1}{7} \times 3 \dfrac{3}{4} \times \dfrac{7}{4} = 7 \dfrac{1}{2}}$

$: \implies \sf{\dfrac{8}{7} \times \dfrac{15}{4} \times \dfrac{7}{4} = \dfrac{15}{2}}$

$: \implies \sf \dfrac{8 \times 15 \times 7}{7 \times 4 \times 4} = \dfrac{15}{2}$

$: \implies \sf \dfrac{840}{112} = \dfrac{15}{2}$

$: \implies \sf \cancel \dfrac{840}{112} = \dfrac{15}{2}$

$: \implies \sf \dfrac{15}{2} = \dfrac{15}{2}$

$\bigstar\underline {\boxed {\sf \red{LHS=RHS}}}$

• Hence Verified

Answer 2

$\large\mathbf \red{\underline{\underline{\maltese{{Given:}}}}}$

$The \:product\: of \:three\: numbers \:is \:7 \dfrac{1}{2}$

$The\: two \:numbers\: are\: 1\: \dfrac{1}{7}$

$and \:3 \dfrac{3}{4}$

$\large\mathbf \red{\underline{\underline{\maltese{{To \: Find :}}}}}$

Third number

$\large\mathbf \red{\underline{\underline{\maltese{{Solution:}}}}}$

$\bigstar \: \underline \frak{ \pmb{Let \: the \: third \: number \: be \: x}}$

$\rightarrow \sf{1st \: number = 7 \dfrac{1}{2}}$

$\rightarrow \sf{2nd \: number = 3 \dfrac{3}{4} }$

$\to \sf{3rd \: number = x}$

${\bigstar \: \underline \frak{\pmb{According \: to \: the \: question }}}$

$: \implies \sf{1 \dfrac{1}{7} \times 3 \dfrac{3}{4} \times x = 7 \dfrac{1}{2}}$

$: \implies \sf{\dfrac{8}{7} \times \dfrac{15}{4} \times x = \dfrac{15}{2}}$

$: \implies \sf{ \dfrac{8 \times 15}{7 \times 4} \times x = \dfrac{15}{2}}$

$: \implies \sf{ \dfrac{120}{28} \times x = \dfrac{15}{2}}$

$: \implies \sf{ x = \dfrac{15}{2} \times \dfrac{28}{120} }$

$: \implies \sf{ x = \cancel \dfrac{420}{240} }$

$: \implies \sf{ x = \dfrac{7}{4} }$

$: \implies \sf{ x =1.75}$

$\bigstar\underline{\boxed{\sf \red{ x =1.75 \: or \: \dfrac{7}{4} }}}$

$\bf{The \: value\: of \: x\: is \: 1.75\: or \: \dfrac{7}{4}}$

$\large\mathbf \red{\underline{\underline{\maltese{{Verification:}}}}}$

$\implies \sf{1 \dfrac{1}{7} \times 3 \dfrac{3}{4} \times x = 7 \dfrac{1}{2}}$

$Substituting\: the \:value\: of\: x = \dfrac{7}{4}$

$\implies \sf{1 \dfrac{1}{7} \times 3 \dfrac{3}{4} \times \dfrac{7}{4} = 7 \dfrac{1}{2}}$

$\implies \sf{\dfrac{8}{7} \times \dfrac{15}{4} \times \dfrac{7}{4} = \dfrac{15}{2}}$

$\implies \sf \dfrac{8 \times 15 \times 7}{7 \times 4 \times 4} = \dfrac{15}{2}$

$\implies \sf \dfrac{840}{112} = \dfrac{15}{2}$

$\implies \sf \cancel \dfrac{840}{112} = \dfrac{15}{2}$

$\implies \sf \dfrac{15}{2} = \dfrac{15}{2}$

$\bigstar\underline {\boxed {\sf \red{LHS=RHS}}}$

Hence Verified