Question

A positive number is 5 times the another number if 21 is added to both the numbers then one of the new number is twice of other two numbers find numbers

Answer 1

Answer:

Given :-

• A positive number is 5 times the another number.
• 21 is added to both the numbers then one of the new number is twice of other numbers.

To Find :-

• What are the numbers.

Solution :-

Let,

$\mapsto \sf\bold{Another\: Number =\: x}$

$\mapsto \sf\bold{Positive\: Number =\: 5x}$

➠ 21 is added to both the numbers :

$\mapsto \sf Another\: Number =\: x + 21$

$\mapsto \sf Positive\: Number =\: 5x + 21$

According to the question,

$\implies \sf 5x + 21 =\: 2(x + 21)$

$\implies \sf 5x + 21 =\: 2x + 42$

$\implies \sf 5x - 2x =\: 42 - 21$

$\implies \sf 3x =\: 21$

$\implies \sf x =\: \dfrac{\cancel{21}}{\cancel{3}}$

$\implies \sf x =\: \dfrac{7}{1}$

$\implies \sf\bold{\purple{x =\: 7}}$

Hence, the required numbers are :

$\mapsto$ Another Number :

$\longrightarrow \sf x$

$\longrightarrow \sf\bold{\red{7}}$

$\mapsto$ Positive Number :

$\longrightarrow \sf 5x$

$\longrightarrow \sf 5(7)$

$\longrightarrow \sf\bold{\red{35}}$

Hence,

$\bigstar\: \: \rm{\bold{\pink{Another\: Number =\: 7}}}$

$\bigstar\: \: \rm{\bold{\pink{Positive\: Number =\: 35}}}$

$\therefore$ The numbers are 7 and 35.

Answer 2

ANSWER:-

THE NUMBERS ARE

• 7
• 35

QUESTION:-

A positive number is 5 times the another number if 21 is added to both the numbers then one of the new number is twice of other two numbers find numbers ?

GIVEN:-

• NUMBER IS 5 TIMES THE ANOTHER NUMBER

• IF WE ADD 21 THEN THE NEW NUMBER BECAME TWICE THE OTHER NUMBER

EXPLANATION:-

LET THE NUMBER =x

THEN OTHER NUMBER =5x

IF 21 IS ADDED THEN THE NUMBER BECAME:

x+21

5x+21

NEW NUMBER BECAME TWICE THE OTHER NUMBER ,SO TO EQUAL THE LINEAR  EQUATION WE WILL DOUBLE x+21

ATQ,

5x+21=2(x+21)

5x+21=2x+42

5x-2x=42-21

3x=21

x=7

SO ONE NUMBER IS =X==>7

AND OTHER NUMBER ==>5x

==>7  x 5

====>35