Question

210 is divided between X and Y in such a way that
1/2 of X is equal to 2/3rd of Y. Find the share of X.​

Answer 1

Step-by-step explanation:

X + Y = 210 -----(1)

X/2 = 2Y/3

X = 4Y/3

putting value of X in eq. (1)

4Y/3 + Y = 210

7Y/3 = 210

Y/3 = 30

Y = 90

X = 210 - 90 = 120

Answer 2

Answer: The answer is

X gets a share of 120

Step-by-step explanation:

Total = 210

X + Y = 210

Y = 210 - X

∴ 1/2 of X = 2/3 of Y

= 1/2 of X = 2/3 of (210 - X)

= 1/2 of X = 2(210 - X)/3

= 3X = 2 * 2(210 - X)

= 3X = 4(210 - X)

= 3X = 840 - 4X

= 3X + 4X = 840

= 7X = 840

∴ X =  120

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