A number being increased by 1/7 th of itself becomes 56. Find the numbers.What would it become when it is decreased by 1/7 th of itself ? Please solve it step by step without using any unknown “x”.

Its answers are 49 and 42.

A number being increased by 1/7 th of itself becomes 56. Find the numbers.What would it become when it is decreased by 1/7 th of itself ? Please solve it step by step without using any unknown “x”.

Its answers are 49 and 42.

1/7 of a pole is in mud. 1/5 is in water and the remaining 7 metres is above water.Find the length of the pole. Please solve it step by step without using any unknown “x”.
Its answer is 140/11.

The difference of the ages of two brothers is 6 years. If 1/4 of the age of elder be equal to 1/3 of the younger. Find their ages. Please solve it step by step without using any unknown “x”.
Its answers are 24 years and 18 years.

If 3/8 of A’s length be equal to 7/16 of B’s length and the sum of their length be 650 cm. Find the length of each. Please solve it step by step without using any unknown “x”.
Its answers are B – 300 cm and A – 350 cm.

1/4 of Rini’s money is equal to 5/8 of Tini’s money. If Rini’s money be Rs.300 more than Tini’s money. Find the amount of each. Please solve it step by step without using any unknown “x”.

Its answers are Rini – Rs.500 and Tini – Rs.200

A man spent 1/3 and 300 from what he had found that he had still left with Rs. 400 and 3/8 of what he had at the beginning. How much had he spent ? Please solve it step by step without using any unknown “x”.

Its answer is Rs.1100.

A number being increased by 1/7 th of itself becomes 56. Find the numbers.What would it become when it is decreased by 1/7 th of itself ? Please solve it step by step without using any unknown “x”.

Its answers are 49 and 42.

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A number being increased by 1/7 th of itself becomes 56. Find the numbers.What would it become when it is decreased by 1/7 th of itself ? Please solve it step by step without using any unknown “x”.

Its answers are 49 and 42.


I will help you with this
you have to post your method of solving for the rest questions by following this method.
don't think we will just post our answers

let name the number as x
x + (1/7)x = 56
taking LCM as 7
(7x+x)/7 = 56
8x=56*7
x= 49

the second condition is
x - (1/7)x = y
taking lcm as 7
(7x -x) /7 = y
6x / 7 =y
y= 6x / 7
y=(6*47)/7
42

now try to solve the rest like this as you have the idea now