Question

Three seventh of a number is greater than two fifths of the number by 4.Find the number.

a) 150                        b) 90                            c) 140                          d) 165

abcd 
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Answer 1

Let the number be y.

so the equation goes like this :

\frac{3}{7}

7

3

× y = \frac{2}{5}

5

2

× y + 4

( As they have stated that Three seventh of a number is greater than two fifth of the number by 4, we add to 4 to two fifth of the number to make it equal. Hope you undestand the equation)

⇒ \frac{3y}{7}

7

3y

= \frac{2y}{5}

5

2y

+ 4

Take L.C.M

⇒ \frac{3y}{7}

7

3y

= \frac{2y + 20}{5}

5

2y+20

Cross multiply. we get:

5(3y) = 7( 2y + 20)

⇒ 15y = 14y + 140

⇒ 15y - 14y = 140

⇒ y = 140

∴ The number is 140.

Hope this helps!

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