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Ena was born 4 years after her parents' marriage. Her mother is three years younger than her father and 24 years older than Ena, who is 13 years old. At what age did Ena's father get married?

20193Mprelimsupscyear-2019p2quantitative-aptitudequantitative-abilitylinear-equation
A.22 years
B.23 yearsCorrect
C.24 years
D.25 years
Explanation & Solution

Correct Option: 23 years

Let us break down the ages step by step. Ena's current age is given as 13 years. Ena's mother is 24 years older than Ena. Therefore, Mother's age = 13 + 24 = 37 years. The mother is three years younger than her father (Ena's father). Therefore, Father's age = Mother's age + 3 = 37 + 3 = 40 years. Ena was born 4 years after her parents' marriage. This means at the time of Ena's birth, her parents had been married for 4 years, or conversely, her parents' marriage happened 4 years before Ena was born. Since Ena is currently 13 years old, her parents got married 13 + 4 = 17 years ago. Alternatively, calculate the father's age when Ena was born: Father's current age is 40, so when Ena was born (13 years ago), the father's age was 40 - 13 = 27 years. Since they were married 4 years before Ena was born, the father's age at marriage was 27 - 4 = 23 years. Thus, Ena's father got married at 23 years of age.

हिंदी में प्रश्न एवं आदर्श उत्तर

ईना अपने माता-पिता के विवाह के 4 वर्ष बाद पैदा हुई । उसकी माता उसके पिता से तीन वर्ष छोटी है और ईना से, जो 13 वर्ष की है, 24 वर्ष बड़ी है । ईना के पिता का किस उम्र में विवाह हुआ था?

A.22 वर्ष
B.23 वर्षसही
C.24 वर्ष
D.25 वर्ष

सही उत्तर: 23 वर्ष

आयु की गणना चरणबद्ध तरीके से करते हैं। ईना की वर्तमान आयु 13 वर्ष है। ईना की माता ईना से 24 वर्ष बड़ी है, अतः माता की आयु = 13 + 24 = 37 वर्ष। माता, पिता से 3 वर्ष छोटी है, अतः पिता की आयु = 37 + 3 = 40 वर्ष। ईना का जन्म माता-पिता के विवाह के 4 वर्ष बाद हुआ था। इसका अर्थ है कि ईना के जन्म के समय पिता की आयु 40 - 13 = 27 वर्ष थी। चूँकि विवाह ईना के जन्म से 4 वर्ष पूर्व हुआ था, अतः विवाह के समय पिता की आयु = 27 - 4 = 23 वर्ष थी। इसलिए ईना के पिता का विवाह 23 वर्ष की आयु में हुआ था।

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