Question

The difference 2number is 26 and 1 number is equal to 3 times of other number .find the number

Answer 1

$\sf\large\underline{Let:}$

• $\tt{The\:2nd\:number=x}$
• $\tt{The\:1st\:number=3x}$

$\sf\large\underline{To\: Find:}$

• $\tt{The\: Number=?}$

$\sf\large\underline{Solution:}$

$\rm{\implies Difference\:_{(two\:number)}=26}$

$\tt{\implies 1st\:_{(number)}-2nd\:_{(number)}=26}$

$\tt{\implies 3x-x=26}$

$\tt{\implies 2x=26}$

$\tt{\implies x=13}$

$\sf\large{Hence,}$

$\rm{\implies 1ST\:_{(number)}=3x=3\times\:13=39}$

$\rm{\implies 2ND\:_{(number)}=x=13}$

$\sf\large\underline{Verification:}$

$\tt{\implies 1st\:_{(3x)}-2nd\:_{(x)}=26}$

• Putting the value of x=13 here]

$\tt{\implies 3x-x=26}$

$\tt{\implies 3\times\:13-13=26}$

$\tt{\implies 39-13=26}$

$\tt{\implies 26=26}$

$\sf\large\underline{Hence,\:Verified:}$

Answer 2

$\huge\bold\bf{\underline{Question:-}}$

The difference 2number is 26 and 1 number is equal to 3 times of other number .find the number.

$\huge\bold\bf{\underline{Given:-}}$

$\tt 1st\:number\:is\:equal\:to\:3times\:of \:other\: number\\ \tt Let\:1st\: number\:be=x\\ \tt 2nd\:number\:be\:=3x\\ \tt difference=26\\ \tt Number=?$

$\huge\bold\bf{\underline{solution:-}}$

$\large\star\tt \:\:\:x-3x=26---eq(1)$

$\implies \tt x-3x=26\\\tt\implies 2x=26\\\tt\implies x=\frac{26}{2}\\ \tt\implies x=13$

$\rule{150}2$

Hence,

$\rightarrow\tt 1st \:number\: is \:x= 13\\ \rightarrow\tt 2nd\: number is\: 3x = 3×13=39$

$\huge\bold\bf{\underline{Verification:-}}$

$\rightarrow\tt x-3x=26\\ \tt\rightarrow putting\:x=13\:in\: equation\:(1)\\ \tt\rightarrow 13-3×13=26\\ \tt\rightarrow 13-39=26\\ \tt\rightarrow 26=26$

$\huge\bold\bf{\underline{Verified:-}}$