Three numbers whose sum is 15 are in A.P. If 8,6 and 4 be added to them respectively, then these are in G.P., find the numbers.

The sum of three numbers in A.P. is 15. If 1, 4 and 19 are added to the numbers, the resulting numbers are in G.P. Find the numbers.

Three numbers a,b and c are in the A.P if

The sum of four numbers in G.P. is 60 and the arithmetic mean of the first and the last is 18. Find the numbers.

Three numbers are in G.P. whose sum is 70. If the extremes be each multiplied by 4 and the means by 5, they will be in A.P. Find the numbers.

The sum of three numbers which are consecutive terms of an A.P. is 21. If the second number is reduced by 1 and the third is increased by 1, we obtain three consecutive terms of a G.P. Find the numbers.

Three numbers are in the ratio 4:5:6. Sum of the larget and the smallest number is the sum of the third and 60. Find the numbers.

The sum of three numbers is 20. Three times the first number added to the sum of second and third is 46. Twice the third number added to the first is 23. Find the numbers using matrices.

The sum of three numbers in G.P. is 42. If the first two numbers are increased by 2 and third is decreased by 4, the resulting numbers form A.P. Find the numbers of G.P.

In a set of four numbers, the first three are in G.P. and the last three are in A.P. with difference 6. If the first number is the same as the fourth, find the four numbers.