Question

aneesh has twice as many as many marbles as krish. krish has 340 marbles more than sravan.if the three of them have 2600 marbles in all, how many marbles does aneesh have?​

Answer 1

AnswEr :

$\text{Let the No. of Marbles Sravan have be \bf{x}}$

$\text{Krish have No. of Marbles = Sravan + 340}\\\qquad \qquad \qquad \qquad \:\: \:\quad\qquad\text{\bf= (x + 340)}$

$\text{Aneesh have No. of Marbles = Twice of Krish}\\ \qquad \qquad \qquad \qquad \qquad \qquad\text{\bf= 2(x + 340)}$

$\rule{100}{2}$

• According to the Question Now :

$\implies \sf Aneesh + Krish + Sravan = 2600 \\ \\\implies \sf 2(x + 340) + (x + 340) + x = 2600 \\ \\\implies \sf 2x + 680 + x + 340 + x = 2600 \\ \\\implies \sf 4x + 1020 = 2600 \\ \\\implies \sf 4x = 2600 - 1020 \\ \\\implies \sf 4x = 1580 \\ \\\implies \sf x = \cancel\dfrac{1580}{4} \\ \\\implies\orange{\sf x = 395}$

$\rule{200}{1}$

• MARBLES⠀EACH⠀HAVE :

◗ Sravan = x = 395

◗ Krish = (x + 340) = (395 + 340) = 735

◗ Aneesh = 2(x + 340) = 2(735) = 1470

⠀

∴ Therefore, Aneesh have 1470 Marbles.

$\rule{200}{2}$

• V E R I F I C A T I O N :

↠ Sravan + Krish + Aneesh = 2600

↠ x + (x + 340) + 2(x + 340) = 2600

↠ 395 + 735 + 1470 = 2600

↠ 2600 = 2600 ⠀⠀⠀⠀⠀Hence, Verified!

Answer 2

Answer:

$\bold\green{Aneesh\:has=1470\:marbles}$

_______________________

Let number of marbles of Sravan has be Y.

So, Krish has = (Y + 340) marbles.

Aneesh has = 2( Y + 340) marbles.

According to question:-

Y + (Y + 340) + 2( Y + 340 ) = 2600

$\mapsto$ Y + Y + 340 + 2Y + 680= 2600

$\mapsto$ 4Y + 1020 = 2600

$\mapsto$ 4Y = 2600 - 1020

$\mapsto$ 4Y = 1580

$\mapsto$ Y = 1580/4

$\mapsto$ Y = 395

_______________________

Sravan has = Y = 395 marbles

Krish has=Y+340=395+340=735 marbles

Aneesh has=(2 × 735)=1470 marbles

$\therefore$ Aneesh has 1470 marbles.

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