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Six times the weight of A is 30 kg less than 5 times the weight of B. If B is 17 kg heavier than A, find the sum of their weights.

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Six times the weight of A is 30 kg less than 5 times the weight of B. If B is 17 kg heavier than A, find the sum of their weights.
1). 127 kg
2). 137 kg
3). 147 kg
4). 157 kg


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Answered by on | Votes 2 |

Let the weights of A and B be ‘x’ kg and ‘y’ kg respectively

Given, six times the weight of A is 30 kg less than 5 times the weight of B

⇒ 6x = 5y – 30      ----(1)

Also, B is 17 kg heavier than A,

⇒ y = x + 17      ----(2)

Substituting (2) in (1), we get,

⇒ 6x = 5(x + 17)  – 30

⇒ 6x – 5x = 85 – 30

⇒ x = 55 kg

Substituting in (2),

⇒ y = 55 + 17 = 72 kg

∴ Sum of their weights = x + y = 55 + 72 = 127 kg

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