Question

Divide 54 into two parts so that four times the greater equals five times the less

Answer 1

Let the both the parts be 'x' and 'y'

x>y

We know that 4x = 5y

so x = 5y/4

x + y = 54

Replacing x we get

(5y/4) + y = 54

(5y +4y)/4 = 54

9y = 216

y = 24

Replacing y in ' x+y = 54'

we get x = 30

Hence the larger part is 30 whereas the smaller part is 24

Answer 2

$\red{HEY\:BUDDY!!}$

HERE'S THE ANSWER..

___________________________

♠️ Divide 54 in two parts say , ( x ) and ( y )«

⏺️ $\bold{ x + y \:=\: 54}$ __( 1 )

▶️ Here ( x ) is greater number

♠️Four times the greater equals five times the less

⏺️$\bold{ 4x \:=\: 5y}$

=> $\bold{ x \:=\: 5y/4}$ ___( 2 )

▶️ Putting value of ( x ) in eqn ( 1 )

=> $\bold{ x + y \:=\: 54}$

=> $\bold{ 5y/4 + y \:=\: 54}$

=> $\bold{ (5y + 4y)/4 \:=\: 54}$

=> $\bold{ (5y + 4y) \:=\: 54×4}$

=> $\bold{ 9y \:=\: 216}$

=> $\bold{ y \:=\: 216/9}$

=> $\boxed{ y \:=\: 24}$

▶️ Putting value of ( y ) in eqn ( 2 )

=> $\bold{ x \:=\: 5y/4}$

=> $\bold{ x \:=\: 5×24/4}$

=> $\bold{ x \:=\: 120/4}$

=> $\boxed{ x \:=\: 30}$

♠️ Hence larger number is 30

♠️ Smaller number is 24



Peace ✌️

$\red{JAI \:HIND..}$

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