Math, asked by DynamicEntertainment, 7 months ago

Divide 1312 into three parts such that first part is 2/3 of the second and the ratio between second and third part is 4:7​

Answers

Answered by Freefire3volanty
22

Answer:

The ratio of 1st part to 2nd part = 2/3 OR 2:3 ........... (i)

The ratio of the 2nd part to the 3rd part = 4:7 ............. (ii)

Multiply (i) by 4 and (ii) by 3

The ratio of 1st part to 2nd part = 8:12

The ratio of 2nd to 3rd part = 12:21 (Now the ratio representing the 2nd part is equal in (i) and (ii)

Meaning the ratio of the 1st:2nd:3rd = 8:12:21

Sum of the ratios = 8+12+21 = 41

1st part = 8/41 x 1312 = Rs. 256

2nd part = 12/41 x 1312 = Rs. 384

3rd part = 21/41 x 1312 = Rs. 672

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Answered by abi230
7

Step-by-step explanation:

soln:

part 1=2/3(4x)

part 2=4x

part 3=7x

when adding,

part(1+2+3)=1312 _____(eq.1)

8x/3+12x+7x=1312

8x+12x+21x=1312*3

41x=3936

x=3936/41

x=96

part 1=2/3*4(96)

=256

part 2=4(96)

=384

part 3=7(96)

=672

On verifying eq.1,

256+384+672=1312

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