Three number are in the ratio of 4-5-6- If the of the largest and smallest equals the of the third and 55- the numbers-

Question

Toppr Admin · Accepted Answer

Let the numbers be 4x- 5x and 6xAccording to the question we can write as-160-6x - 4x - 5 - 55-On rearring we can write as-160-10x - 5x - 55-5x - 55 -x - 55-5 - 11-So the numbers are 44- 55 and 66

Three number are in the ratio of 4:5:6. If the sum of the largest and smallest equals the sum of the third and 55, find the numbers.

Let the numbers be 4x, 5x and 6x
According to the question we can write as
$$6x + 4x = 5 + 55$$
On rearring we can write as
$$10x - 5x = 55$$
$$5x = 55 $$
$$x = 55/5 = 11$$
So the numbers are 44, 55 and 66

Three number are in the ratio of 4:5:6. If the sum of the largest and smallest equals the sum of the third and 55, find the numbers.

Let the numbers be 4x, 5x and 6xAccording to the question we can write as $$6x + 4x = 5 + 55$$On rearring we can write as $$10x - 5x = 55$$$$5x = 55 $$$$x = 55/5 = 11$$So the numbers are 44, 55 and 66

Let the numbers be 4x, 5x and 6x
According to the question we can write as
$$6x + 4x = 5 + 55$$
On rearring we can write as
$$10x - 5x = 55$$
$$5x = 55 $$
$$x = 55/5 = 11$$
So the numbers are 44, 55 and 66