Solve the following mathematical problems:

The sum of three numbers in Arithmetic Progression is 30, and the sum of their square 318.Find the numbers.

Created: 5 months ago | Updated: 6 days ago

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Let, second term = a

Common difference = d

First term will be=a-d

And third term will be = a+d

according to question,

$a - d + a + a + d = 30 \Rightarrow 3 a = 30 \Rightarrow a = \frac{30}{3} ∴ a = 10$

So, second term = 10

First term = (10-d)

and third = (10+d)

According to question ,

${(10 - d)}^{2} + {(10)}^{2} + {(10 + d)}^{2} = 318 \Rightarrow {(10)}^{2} - 2 \times 10 \times d + d^{2} + 100 + {(10)}^{2} + 2 \times 10 \times d + d^{2} = 318 \Rightarrow 100 - 20 d + d^{2} + 100 + 100 + 20 d + d^{2} = 318 \Rightarrow 2 d^{2} + 300 = 318 \Rightarrow 2 d^{2} = 18 ∴ d = \sqrt{9} = 3$

so, 1^st term = 10-3=7; 2^nd term= 10 & 3^rd term = 10+3=13

ans. the number is 7,10,13

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A fruit-salad mixture consists of apples, peaches, and grapes in the ratio 6:5:2 respectively by weight, If 39 pounds of the mixture is prepared , the mixture includes how many more pounds of apples than grapes?

Created: 5 months ago | Updated: 6 days ago

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Solve the following mathematical problems.

Mr, Sakil leaves his office at a certain fixed time. If he walks at the rate 5 km per hour ( kmh) he is late by 7 minutes . If he walks at the rate 6 kmh, he reached office 5 minutes earlier.

Created: 5 months ago | Updated: 6 days ago

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Solve the following mathematical problems.

A man deposited Tk, 5000 with a bank that pays interest at the rate of 5% per annul even –six month. The man will withdraw Tk 500 from his principal plus any interest accrued at each six – month period. How much total interest can expect to receive?

Created: 5 months ago | Updated: 6 days ago

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Solve the following mathematical problems.

A man earned Tk. 5000 from interest and wages . If he doubles his investment and also gets 50% increased wages before, his earning will stand to Tk. 8,000 Determine the original income of the man both in terms of interest ans wages.

Created: 5 months ago | Updated: 6 days ago

Job Solution Bangladesh Krishi Bank Bangladesh Krishi Bank Ltd. Recruitment Test For Senior Officer -2017 Examination Held On: 20.01.2017 || 2017 গণিত

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Solve the following mathematical problems.

Twenty men can finish a piece of work in 30 days. After how many days should 5 men leave the work so that it may be finished in 35 days?

Created: 5 months ago | Updated: 6 days ago

Job Solution Bangladesh Krishi Bank Bangladesh Krishi Bank Ltd. Recruitment Test For Senior Officer -2017 Examination Held On: 20.01.2017 || 2017 গণিত

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Solve the following mathematical problems:

The sum of three numbers in Arithmetic Progression is 30, and the sum of their square 318.Find the numbers.

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