Question

Two numbers are in the ratio 3:4.If the smaller number is 84,Find the bigger ​

Answer 1

Answer :

Given :

Ratio of Numbers - 3 : 4

The Smaller Number - 84

To Find :

The Bigger Number

Solution :

Let the Unknown Number be x ,

$\dashrightarrow \sf \: 3 : 4 = 84 : x$

$\dashrightarrow \sf \: \frac{3}{4} = \frac{84}{x}$

$\dashrightarrow \sf \:3 \times x = 84 \times 4$

$\dashrightarrow \sf \: 3x = 336$

$\dashrightarrow \sf \: x = \cfrac{336}{3}$

$\dashrightarrow\sf \: x = 112$

${\frak{x = 112 }}$

$\therefore \sf \: Bigger \: Number \: = 112$

$\sf \dag \: \: 84 : 112 = 3 : 4$

Answer 2

$\bf{{\underline{Given}}:}$

• Two numbers are in ratio $\sf{\pmb{3:4}}$
• The smaller number is 84

$\bf{{\underline{To~find}}:}$

• The bigger number

$\bf{{\underline{Solution}}:}$

• Let the bigger number be x

$\sf\implies{3:4=84:{\pmb{x}}}$

$\sf\implies{{\dfrac{3}{4}}={\dfrac{84}{x}}}$

$\sf\implies{3x=84×4}$

$\sf\implies{3x=336}$

$\sf\implies{x={\dfrac{336}{3}}}$

$\sf{~~~~~ \therefore {\blue{\underline{\boxed{\sf{\pmb{x=112}}}}}}}$

$\bf\therefore{{\underline{Required~answer}}:}$

• The bigger number, x is $\sf{{\blue{\underline{\underline{\sf{\pmb{~112~}}}}}}}$