Question

A number is divided into two parts in the ratio 7:4 .If the sum of the numbers is 572 then find the numbers and also find the greatest number

Answer 1

$\huge{\bf{\underline{\purple{Solution :}}}}$

Given ,

• The number is divided into two parts in the ratio 7 : 4

Suppose the number be x .

So, First Number = 7x

Second Number = 4x

$\boxed{\bold{\red{According \ to \ Question :}}}$

$\implies \bold{7x + 4x = 572}$

$\implies \bold{11x = 572}$

$\implies \bold{x = \frac{572}{11}}$

Therefore,

• First Number 7x = 7 x 52 = 364
• Second Number 4x = 4 x 52 = 208

Greatest Number is 364 (Answer)

$\rule{200}2$

Answer 2

$\huge{ \pink{ \boxed{ \fcolorbox{yellow}{lightgreen}{answer}}}} \green{ \longrightarrow}</p><p>$

$\huge \red {\ddot{ \smile}}$

$\large \green{ \frak{given}} \longrightarrow$

It is given that the number is divided into two parts in the ratio 7:4.

______________________________________

$\large \frak { \green{solution}} \longrightarrow$

Let the number be x.

so,

first number = 7x

second number = 4x

$\green{ \mathbb{ACCORDING \: TO \: QUESTION }} \longrightarrow$

$\large 7x + 4x = 572 \\ 11x = 572 \\ \\ x = \frac{572}{11} \\ \\ \boxed {x = 52}$

so,

$\red {\mathbb{FIRST \: NUMBER = }} \red{7x} \\ \red\longrightarrow \red{7 \times 52 = 364}$

$\red{ \red{ \mathbb{SECOND \: NUMBER = 4x}}} \\ \red\longrightarrow{ \red{4\times 52 = 208}}$

$\large \frak { \green{The \: Greatest \: Number=364}}$

hops this may help you

$\huge{ \red{ \ddot{ \smile}}}$

$\huge \blue{ \mathfrak{thanks♡</p><p>}}$