Derive equation u=u+ut

1.	Derive equation u=u+ut
Answer» $\Large{\underline{\underline{\mathfrak{\red{\bf{Solution}}}}}}$ $\Large{\underline{\mathfrak{\orange{\bf{Given}}}}}$ 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 __________________

Answer»

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

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

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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