Question

$\begin{gathered}{\Huge{\textsf{\textbf{\underline{\underline{\color{red}{Question:}}}}}}}\end{gathered}$
The difference between two whole numbers is 123.The ratio of the two numbers is 7 : 4. What are the numbers?
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Answer 1

Answer:

lєt thє rαtíσѕ σf thє nσ. αrє 7х:4х

ѕíncє díffrєncє σf thє nσ. αrє 123

Step-by-step explanation:

so,

7x-4x =123

3x =123

x =41

so the no. are in ratios is 7x:4x

7×41:4×41

287:164

so no. are , 287and164

@ani

Answer 2

$\huge\underline{\underline\bold \red{solution}}$

$\huge\mathfrak{given - }$

$\bold{\star \: difference \: of \: two \: whole \: number = 123}$

$\bold{\star \: ratio \: of \: two \: numbers = 7 \ratio \: 4}$

$\huge\mathfrak{find - }$

$\bold{\bigstar \: those \: two \: whole \: numbers}$

$\huge\mathfrak{steps - }$

$\sf \ddagger \: assume \: the \: ratios \:as - \\ \red{\mapsto \: 7x \: and \: 4 x}$

$\sf \longmapsto \: so \: now \: we \: got \: the \: equation \: that \: is \: -$

$\leadsto\bold{7x - 4x = 123} \\ \leadsto \bold{3x = 123 } \\ \leadsto \bold{ x = \frac{123}{3} } \\ \leadsto \: x = \fbox{ 41}$

$\bold{7x = 7 \times 41 = 287} \\ \bold{4x = 4 \times 41 = 164}$

$\bigstar \: \underline{ \underline\bold\red{so \: two \: whole \: numbers \: = \: 287 \: and \: 164}}$

$\huge\sf{verification}$

$\sf \star \: difference \: of \: two \: whole \: number \: = 123 \\ \star \: \bold{287 - 164 = 123} \\ \bold{\star \: 123 = 123} \: \red{\checkmark}$

Hence Verified !