After distributing the sweets equally among $25$ children, $8$ sweets remain. Had the number of children been $28, 22$ sweets would have been left after equal distribution. What was the total number of sweets?

328

No worries! We‘ve got your back. Try BYJU‘S free classes today!

348

No worries! We‘ve got your back. Try BYJU‘S free classes today!

358

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Data inadequate

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $358$
Let the total number of sweets be $(25 x + 8)$ .
Then, $(25 x + 8) - 22$ is divisible by $28$
$\Leftrightarrow (25 x - 14)$ is divisible by $28 \Leftrightarrow 28 x - (3 x + 14)$ is divisible by $28$
$\Leftrightarrow (3 x + 14)$ is divisible by $28 \Leftrightarrow x = 14$ .
Therefore Total number of sweets $= (25 \times 14 + 8) = 358$ .

Suggest Corrections

Similar questions

480

sweets were equally distributed among a certain number of children .Had their been

4

more children each child would have got

6

less sweets. Find the original number of children.

405

sweets were distributed equally among children in such a way that the number of sweets received by each child is 20% of the total number of children. How many sweets did each child receive?

Question 86

A packet of sweet was distributed among 10 children and each of them received 4 sweets. If it is distributed among 8 children, how many sweets will each child get?

Q. Some sweets are distributed among 40 kids. Had there been 20 more kids, each kid would have received 5 sweets less. How many sweets were there in total?

Q. Raju, Radha and Maya were distributing sweets. Maya asked how many sweets they had distributed. Raju said that they had distributed 160 sweets and Radha said that they had distributed 20% of the sweets. Then, what was the total number of sweets to be distributed?

Join BYJU'S Learning Program

After distributing the sweets equally among 25 children, 8 sweets remain. Had the number of children been 28,22 sweets would have been left after equal distribution. What was the total number of sweets?

The correct option is A 358Let the total number of sweets be (25x+8).Then, (25x+8)−22 is divisible by 28⇔(25x−14) is divisible by 28⇔28x−(3x+14) is divisible by 28⇔(3x+14) is divisible by 28⇔x=14.Therefore Total number of sweets =(25×14+8)=358.

After distributing the sweets equally among $25$ children, $8$ sweets remain. Had the number of children been $28, 22$ sweets would have been left after equal distribution. What was the total number of sweets?