SSC MTS practice question
The ratio of the present ages of P and Q is 4:7. After 6 years, the ratio of their ages becomes 5:8. Find P's present age.
From a SSC MTS Quantitative Aptitude practice set · Quantitative Aptitude
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Correct answer: (C) 24 years
*Solution:* Let ages be 4x and 7x. After 6 years: (4x+6)/(7x+6) = 5/8 ⟹ 8(4x+6) = 5(7x+6) ⟹ 32x+48 = 35x+30 ⟹ 18 = 3x ⟹ x = 6. P's present age = 4×6 = **24 years**. (Check: P=24, Q=42; after 6 years: 30, 48 → 30:48 = 5:8 ✓)
हिंदी में प्रश्न
P और Q की वर्तमान आयु का अनुपात 4:7 है। 6 वर्ष बाद, उनकी आयु का अनुपात 5:8 हो जाता है। P की वर्तमान आयु ज्ञात कीजिए।
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सही उत्तर: (C) 24 वर्ष
*समाधान:* मान लीजिए आयु 4x और 7x है। 6 वर्ष बाद: (4x+6)/(7x+6) = 5/8 ⟹ 8(4x+6) = 5(7x+6) ⟹ 32x+48 = 35x+30 ⟹ 18 = 3x ⟹ x = 6। P की वर्तमान आयु = 4×6 = **24 वर्ष**। (जाँच: P=24, Q=42; 6 वर्ष बाद: 30, 48 → 30:48 = 5:8 ✓)
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