Three numbers of marbles given to three children are in AP. Their sum is 30 and the product of the first and third is 91.
Find the smallest number of marbles.

Question

Three numbers of marbles given to three children are in AP. Their sum is 30 and the product of the first and third is 91. Find the smallest number of marbles.

Accepted Answer

7. Let terms be a-d, a, a+d. Sum = 3a = 30, a = 10. (a-d)(a+d) = a^2 - d^2 = 91, so 100 - d^2 = 91, d^2 = 9, d = 3. Terms: 7, 10, 13. Smallest = 7.

Three numbers of marbles given to three children are in AP. Their sum is 30 and the product of the first and third is 91.
Find the smallest number of marbles.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 AP Word Problems practice

Three numbers of marbles given to three children are in AP. Their sum is 30 and the product of the first and third is 91.Find the smallest number of marbles.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 AP Word Problems practice

Three numbers of marbles given to three children are in AP. Their sum is 30 and the product of the first and third is 91.
Find the smallest number of marbles.