Three numbers are in A.P. whose sum is 33 and | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Let the three numbers in $A.P.$ be $(a - d), a, (a + d)$.Given that the sum is $33$:$(a - d) + a + (a + d) = 33$$3a = 33$$a = 11$Given that the pr

Vedclass · Accepted Answer

$4$

Vedclass · Answer

(A) Let the three numbers in $A.P.$ be $(a - d), a, (a + d)$.Given that the sum is $33$:$(a - d) + a + (a + d) = 33$$3a = 33$$a = 11$Given that the product is $792$:$(a - d) 	imes a 	imes (a + d) = 792$$a(a^2 - d^2) = 792$$11(11^2 - d^2) = 792$$121 - d^2 = 72$$d^2 = 121 - 72 = 49$$d = \pm 7$If $d = 7$,the numbers are $(11 - 7), 11, (11 + 7)$,which are $4, 11, 18$.If $d = -7$,the numbers are $(11 + 7), 11, (11 - 7)$,which are $18, 11, 4$.In both cases,the smallest number is $4$.

Three numbers are in $A.P.$ whose sum is $33$ and product is $792$. The smallest number among these is:

Similar Questions

How many multiples of $5$ are there from $10$ to $95$,including both $10$ and $95$?

Find the $17^{\text{th}}$ and $24^{\text{th}}$ term in the following sequence whose $n^{\text{th}}$ term is $a_{n} = 4n - 3$.

When the $9^{th}$ term of an $A.P.$ is divided by its $2^{nd}$ term,the quotient is $5$. When the $13^{th}$ term is divided by the $6^{th}$ term,the quotient is $2$ and the remainder is $5$. Find the first term of the $A.P.$

The first term of an $A$.$P$. of $30$ non-negative terms is $\frac{10}{3}$. If the sum of this $A$.$P$. is the cube of its last term, then its common difference is:

There are $n$ arithmetic means between $7$ and $71$. If the $5^{th}$ arithmetic mean is $27$,then $n = ......$

Vedclass Test Series

Exam Paper Generator

Online Exam Module