Question

If 3/5 of a number exceeds its 2/7 by 44, find the number.Please answer as soon as possible.It is very urgent​

Answer 1

Question

If 3/5 of a number exceeds its 2/7 by 44, find the number.

Answer:

140.

Step-by-step explanation:

Assuming the number to be x .

Now, It is said that 3/5 of a number exceeds its 2/7 by 44.

So , Required equation :

Assuming the number to be x.

According to the question we can presume that :

${ \boxed {\bold{ \frac{3}{5} x - \frac{2}{7} x = 44 }}}$

Solving the obtained equation :

• Simplifying both the sides of equation :

$\mathsf{ \implies \: \: \dfrac{3}{5}x - \dfrac{2}{7} = 44 }$

• Combining like terms

$\mathsf{ \implies \: \: \bigg( \dfrac{3}{5}x - \dfrac{ - 2}{7} x \bigg) = 44 }$

• Solving it further

$\mathsf{ \implies \: \: \dfrac{11}{35}x = 44 }$

• Multiplying Both Sides By 35/11

$\mathsf{ \implies \: \: </strong><strong>\</strong><strong>b</strong><strong>i</strong><strong>g</strong><strong>g</strong><strong>( \</strong><strong>d</strong><strong>frac{ \cancel{35}}{ \cancel{11}}</strong><strong>\</strong><strong>b</strong><strong>i</strong><strong>g</strong><strong>g</strong><strong>) \times }</strong><strong> </strong><strong>\</strong><strong>b</strong><strong>i</strong><strong>g</strong><strong>g</strong><strong>( \</strong><strong>d</strong><strong>frac { \cancel{11}}{ \cancel{35}}</strong><strong> </strong><strong>\</strong><strong>b</strong><strong>i</strong><strong>g</strong><strong>g</strong><strong>) = </strong><strong>\</strong><strong>b</strong><strong>i</strong><strong>g</strong><strong>g</strong><strong>(</strong><strong> \</strong><strong>d</strong><strong>frac{35}{ \cancel{11}} </strong><strong>\</strong><strong>b</strong><strong>i</strong><strong>g</strong><strong>g</strong><strong>) \times \cancel{(44)}$

$\implies \: \: x = 35 \times 4$

$\implies \: \: x = 140$

Answer 2

ᴀɴsᴡᴇʀ

Let the number be x.

$\sf~ \frac{3}{5} x = \frac{2}{7} x + 44$

$⟹\sf~ \frac{3x}{5} = \frac{2x}{7} + 44$

$⟹\sf~ \frac{3x}{5} - \frac{2x}{7} = 44$

$⟹\sf~ \frac{21x - 10x}{35} = 44$

$⟹\sf~ \frac{11x}{35} = 44$

$⟹\sf~x = 44 \times \frac{35}{11}$

$⟹\sf~x = 4 \times 35$

$⟹\sf~x = 140$

∴ The number is 140