Manish is eighteenth from the right end and Rahul is fifth from the left end in a row of boys. If there are seven boys between Manish and Rahul, how…

Manish is 18th from the right end.

Rahul is 5th from the left end.

There are 7 boys between Manish and Rahul.

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Since Rahul is 5th from the left and there are 7 boys between Rahul and Manish, Manish's position from the left is:

Position of Manish from left $= 5 + 7 + 1$=5+7+1

Position of Manish from left $= 13$=13

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Manish is 13th from the left and 18th from the right.

Total number of boys $= \text{Position from left} + \text{Position from right} - 1$=Position from left+Position from right−1

Total number of boys $= 13 + 18 - 1$=13+18−1

Total number of boys $= 30$=30

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Verification:

• Total boys = 30
• Rahul: 5th from left
• Manish: 18th from right = $(30 - 18 + 1) = 13$(30−18+1)=13th from left
• Boys between them = $13 - 5 - 1 = 7$13−5−1=7 ✓

Therefore, there are 30 boys in the row.