4. Divide 64 between 'A' and 'B' such that 3
times A 's share is greater than 4 times B's
share by 10.
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Step-by-step explanation:
Let A's share be Rs x.
Then, B's share = Rs (64 - x)
As per problem,
3x - 4(64 - x) = 10
⇒ 3x - 256 + 4x = 10
⇒ 7x - 256 = 10
⇒ 7x = 10 + 256 (By transposing -256 to RHS)
⇒ x = 266/7 (Dividing both sides by 7)
⇒ x = 38
A's share = Rs 38
B's share = 64 - 38
= Rs 26
Hence, the shares of A and B are Rs 38 and Rs 26 respectively.
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