Question

Peter has Rs200 and Paul has Rs2120 When they are each given Rsx Paul has 5 times as much as Peter write Down an equation in x and solve it

Answer 1

Question :

Peter has Rs200 and Paul has Rs2120 When they are each given Rs "x" Paul has 5 times as much as Peter write Down an equation in x and solve it.

Answer :

$\sf\purple{Given:}$

• Peter has Rs . 200

• Paul has Rs . 2120

$\sf\purple{To\:Find:}$

• Value of x = ?

Explanation :

• When given x rupees to both Paul has 5 times as much as peter has .

• Now peter has 200 + x rupees

• Now Paul has 2120 + x rupees

Equation Formed :

$\longrightarrow\mathbb{5 (200 + x ) = 2120 + x}$

$\longrightarrow\mathbb{1000 + 5x = 2120 + x}$

$\longrightarrow\mathbb{5x - x = 2120 - 1000}$

$\longrightarrow\mathbb{4x = 1120 }$

$\longrightarrow\mathbb{x = 1120/4 }$

$\longrightarrow\mathbb\pink{x = 280 }$

• Therefore 280 rupees were given to both of them .

$\huge\sf\red{@MissOxford}$