Question

A number is obtained by subtracting certain number from hundred, when this resultant number is divided by 5 as well as by 7, the remainder is 1.in both the divisions. But the quotient obtained by dividing the number by 5 is 4 more than the quotient obtained by dividing the number by 7. Find the number subtracted from 100.​

Answer 1

Answer:

The number subtracted from $100$ is $29$

Step-by-step explanation:

Given:

The number is subtracted from $100$ is divisible by $5$ and $7$ get remainder $1$.

the quotient obtained by dividing the number by $5$ is $4$ more than the quotient obtained by dividing the number by $7$

We need to find the number which is subtracted from $100$.

As the number is less than $100$ and divisible by $5$ and $7$ its should be a multiple of $5*7=35$

Multiples of $35$ below $100$ are $35,70$

Since it is given the quotient is not same we take $70$ and the number when divided by $5$ and $7$ we get a remainder $1$ so $70+1=71$

The number is $71$ but the number we need is $100-71=29$