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
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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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