Linear Equation...

Out of three numbers, the first is twice the second and the second is thrice the third. If the average of the three numbers is $$10,$$ find the largest number?

In a zoo there are rabbits and pigeons. If their heads are counted these are 90 while their legs are 224 The number of pigeons in the zoo are

The sum of the digits of a three-digit number is $$16$$. If the ten's digit of the number is $$3$$ times the unit's digit and the unit's digit is one-fourth of the hundredth digit then what is the number?

The ratio of a two digit number to the sum of its digits is $$7:1.$$ If the digit in the ten's place is $$1$$ more than the digit in the one's place, then the number is

Given that $$\displaystyle \frac {-6p - 9}{3}\, =\, \displaystyle \frac {2p + 9}{5}$$, find the value of $$p$$.

If $$2x + 3 = x - 4,$$ then the value of $$x$$ is

If the sum of three consecutive even numbers is $$234$$, then the smallest among them is

$$2n$$ is an even number. What are the odd numbers on each side of it? The sum of two consecutive odd numbers is $$96$$. What are they?

A grandfather is ten times older than his grand daughter. He is also $$54$$ years older than her. Find their present ages.