Question

three number a b c are in ratio 1 by 2 ratio 2 by 3 ratio 3 by 4 and their sum is 276.find the number ​

Answer 1

★Given:

a,b,c are in ratio $\frac{1}{2} : \frac{2}{3} : \frac{3}{4}$

a+b+c = 276

★Solution:

$a = \frac{1}{2} \times x = \frac{x}{2}\\ \\ \\ b = \frac{2}{3} \times x = \frac{2x}{3}\\ \\ \\ c = \frac{3}{4} \times x = \frac{3x}{4}$

$a+b+c = 276 \\ \\ \\ \frac{x}{2} + \frac{2x}{3} + \frac{3x}{4} = 276 \\ \\ \\ Lcm \:of \:2,3,4 = 12\\ \\ \\ \frac{6x+8x+9x}{12} = 276\\ \\ \\ \frac{23x}{12} = 276 \\ \\ \\ by\: cross\: multiplication\\ \\ \\ 23x = 276 \times 12 \\ \\ \\ x =\frac{\cancel{276} \times 12}{\cancel{23}} \\ \\ \\ x = 12 \times 12 \\ \\ \\ {\pink{\boxed{x = 144}}}$

$\rm by\: putting\: the\:value\:of \:x\\ \\ \\ a = \frac{x}{2} = \frac{\cancel{144}}{\cancel{2}}\\ \\ \\ \star\bold{a = 72}\\ \\ \\ b = \frac{2x}{3} = \frac{2 \times \cancel{144}}{\cancel{3}} \\ \\ \\ b = 2 \times 48 \\ \\ \\ \star\bold{ b = 96}\\ \\ \\ c = \frac{3x}{4} = \frac{3 \times \cancel{144}}{\cancel{4}}\\ \\ \\ c = 3 \times 36 \\ \\ \\ \star\bold { c = 108}$

Answer 2

Answer:

sorry I dont।known

Step-by-step explanation:

sorry I dont known