Tamil Nadu Board Solutions for Chapter: Algebra, Exercise 31: Exercise 3.7

The sum of three consecutive odd numbers is $75$. Which is the largest among them?

A number consists of two digits whose sum is $9$. If $27$ is subtracted from the original number, its digits are interchanged. Find the original number.

The denominator of a fraction exceeds its numerator by $8$. If the numerator is increased by $17$ and the denominator is decreased by $1$, we get $\frac{3}{2}$. Find the original fraction.

If a train runs at $60 \mathrm{km}/\mathrm{hr}$ it reaches its destination late by $15$ minutes. But, if it runs at $85 \mathrm{kmph}$ it is late by only $4$ minutes. The distance to be covered by the train is $\mathrm{k} \mathrm{km}$. Find the value of $\mathrm{k}$.

The exterior angle of a triangle is $120°$ and one of its interior opposite angle $58°$, then the other opposite interior angle is _____.

What sum of money will earn $₹500$ as simple interest in $1$ year at $5\%$  per annum?

The product of LCM and HCF of two numbers is $24$. If one of the number is $6$, then the other number is _____.

The largest number of the three consecutive numbers is $x+1$, then the smallest number is: