Question

Divide 3450among a b c in the ratio 3:5:7:​

Answer 1

Step-by-step explanation:

Sum of Ratios = 3 + 5 + 7 = 15

Share of A =( 3 × 3450)÷ 15 =690

Share of B = (5×3450)÷15 =1150

SHARE OF C = (7×3450) ÷ 15 =1610

Answer 2

$\mathfrak{\bf{\underline{\underline{\mathsf{Question \ :}}}}}$$\: \: \mathsf{Divide \: 3450 \: among \: a, \: b, \: c \: in \: the \: ratio \: 3:5:7}$

$\mathfrak{\bf{\underline{\underline{\mathsf{To \ Find \ :}}}}}$ㅤ$\: \: \mathsf{a,b \: and \: c }$

$\mathfrak{\bf{\underline{\underline{\mathsf{Given \ :}}}}}$ㅤㅤ$\: \: \mathsf{ Ratio = 3:5:7 }$

$\mathfrak{\bf{\underline{\underline{\mathsf{Soultion \ :}}}}}$$\mathsf{sum \: of \: the \: ratios = 3450}$

$\implies \mathsf{3x + 5x + 7x = 3450}$

$\implies \mathsf{15x = 3450}$

$\implies \mathsf{x = \frac{ \cancel{3450} \: ^{230} }{ \cancel{15} \: ^{1} } }$

$\implies \mathsf{x = 230}$

NOW,

$\implies \mathsf{Value \: of \: a = 3x}$

$\implies \mathsf{a = 3 (230)}$

$\implies \mathsf{a = 690}$

$\implies \mathsf{Value \: of \: b = 5x}$

$\implies \mathsf{b = 5(230)}$

$\implies \mathsf{b = 1150}$

$\implies \mathsf{Value \: of \: c = 7x}$

$\implies \mathsf{c = 7(230)}$

$\implies \mathsf{c = 1610}$

$\mathsf{\underline{Answer} : - \: \: \: \: \boxed{ \blue{a = 690} }}$

$\mathsf ㅤㅤㅤㅤㅤ \: ㅤ{ \boxed {\blue{b = 1150}}}$

$\mathsfㅤㅤㅤ \: ㅤㅤㅤ{ \boxed {\blue{c = 1610}}}$