Seven years ago, the age of Sahil was equal to the present age of Nihal. Sum of Sahil's age 5 year ago and Nihal's age 6 years later is 58 years. If Ruchi is 4 years elder to Sahil, then what will be Ruchi's age (in years) after 10 years?
46
Step 1 — Form equations: Let Sahil's and Nihal's present ages be \(S\) and \(N\). Then \(S-7=N\) and \((S-5)+(N+6)=58\), i.e. \(S+N=57\).
Step 2 — Solve: Substituting \(N=S-7\):
\[2S-7=57\implies S=32\]
Step 3 — Ruchi's age in 10 years: Ruchi is 4 years older than Sahil, so Ruchi now is \(32+4=36\). After 10 years she will be \(36+10=46\).
Therefore Ruchi's age after 10 years is 46.
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