Question

There are 142 students in a class. Each one gave subscription of 325 rupee for a tour. State the amount collected as subscription in all​

Answer 1

$\Large{\underline{\underline{\mathfrak{\red{\bf{Solution}}}}}}$

$\Large{\underline{\mathfrak{\orange{\bf{Given}}}}}$

the difference between two positive integers is 50

the ratio of these integerse 1:3

$\Large{\underline{\mathfrak{\orange{\bf{Find}}}}}$

These Integers

$\Large{\underline{\underline{\mathfrak{\red{\bf{Explanation}}}}}}$.

Let,

First Integers = x

Second Integers = y

Case 1.

(the difference between two positive integers is 50)

↪ x - y = 50 ___________(1)

Case 2.

(the ratio of these integerse 1:3)

↪ x : y = 1: 3

↪x/y = 1/3

↪3x - y = 0 _____________(2)

Subtract equ(1) & equ(2)

↪ x - 3x = 50

↪-2x = 50

↪x = -50/2

↪x = -25

Keep Value of x in equ(1)

↪ -25 - y = 50

↪y = -25 - 50

↪y = -75

$\Large{\underline{\mathfrak{\orange{\bf{Since}}}}}$

According to question, both Integers are positive , so Neglect negative sign by all values.

$\Large{\underline{\underline{\mathfrak{\red{\bf{Hence}}}}}}$.

First Integers will be = 25

Second Integers will be = 75

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