Question

if 3/5 of a number exceeds its 2/7 by 44, find the number​

Answer 1

Let the number be x

By the given condition,

➜3/5 * x = 2/7 * x + 44

➜ 3/5 * x - 2/7 * x = 44

➜( 3/5 - 2/7 ) x = 44

➜(21 - 10)/35 * x = 44

➜x = (44*35) / 11

➜x = 4*35

➜x= 140

Answer 2

Given :-

• If 3/5 of a number exceeds it's 2/7 by 44.

To find :-

• The required number = ?

Solution :-

Let the required number be n

Then,

According to the question,

we need to find the difference between 3/5 - 2/7

$\rm\longrightarrow\:\dfrac{3}{5}-\dfrac{2}{7}$

$\rm\longrightarrow\:\dfrac{21-10}{35}$

$\rm\longrightarrow\:\dfrac{11}{35}$

Now,

$\rm\:\dfrac{11}{35}\:of\:n=44$

$\rm\longrightarrow\:\dfrac{11}{35}\times{n}=44$

$\rm\longrightarrow\:\dfrac{11}{35}n=44$

$\rm\longrightarrow\:11n=44\times{35}$

$\rm\longrightarrow\:11n=1540$

$\rm\longrightarrow\:n=\cancel\dfrac{1540}{11}$

$\rm\longrightarrow\:n=140$

Hence,the required number will be 140.

More information :-

Related to rational number :-

➝ Rational number :- The numbers of the form p/q where p and q are integers and q ≠ 0 are called rational number.