Question

if 3 by 5 of a number exceeds it's 2 by 7 bye 44 find the number​

Answer 1

AnswEr:-

Your Answer Is 140.

ExplanaTion:-

Given:-

• 3/5 th of a number exeeds its 2/7 th of its by 44.

To Find:-

• The Number.

Now,

• Let the Number be x.

So,

↦ 3/4 of the number i.e. x,

= 3/4 × x.

= 3x/4.

Similarly,

↦ 2/7 of the number i.e. x

= 2/7 × x.

= 2x/7.

Therefore ATQ:-

↦ 3/5 of x exceeds 2/7 of x by 44.

↦ 3x/5 = 2x/7 + 44.

↦ 3x/5 - 2x/7 = 44.

↦ 3x × 7/35 - 2x × 5/35 = 44.

[By Taking LCM].

↦ 21x/35 - 10x/35 = 44.

↦ 21x - 10x/35 = 44.

↦ 11x/35 = 44.

↦ 11x = 44 × 35.

↦ 11x = 1540.

↦ x = 1540/11

↦ x = 140 = Required Number.

Therefore the number is 140.

Answer 2

❃SOLUTION❃

✒Let the unknown number be x

So

⟹${ \mathtt{ \dfrac{3}{5} \: of \: number = \dfrac{3x}{2}}}$

⟹${ \mathtt{ \dfrac{2}{7} \: of \: number = \dfrac{2}{7}}}$

✒The question says that,

✒3/5 exceeds it's 2/7 by 44

So,

$⟹ \dfrac{3x}{5} - \dfrac{2x}{7} = 44$

$⟹ \dfrac{21x- 10x}{35} = 44$

$⟹ \frac{11}{35} = 44$

$⟹x = 4 \times 35$

$⟹140$

Therefore the number is 140.

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