d:[["$","title","0",{"children":"IIM Kozhikode - A told B, “When I was as old as you are now, then your age was four years less than half of my present age\". If the sum of the present ages of A and B is 61 years, what is B's present age in years? | PYQs + Solutions | AfterBoards"}],["$","meta","1",{"name":"description","content":"undefined Let A's present a>= = a years and B's present a>= = b years

When A was b years old, that was (a - b) years ago At that time, B's a>= was b - (a - b) = 2b - a

According to A's statement: B's a>= at that time was a2 - 4 So we >=t: 2b - a = a2 - 4

Multiplying by 2: 4b - 2a = a - 8 4b = 3a - 8 ... (1)

Sum of present a>=s is 61: a + b = 61 a = 61 - b ... (2)

Substituting (2) into (1): 4b = 3(61 - b) - 8 4b = 183 - 3b - 8 7b = 175 b = 25

Therefore a = 61 - 25 = 36

Verification: When A was 25, B was 25 - 11 = 14 years old 362 - 4 = 18 - 4 = 14 ✓ B's present a>= is 25 years"}],["$","link","2",{"rel":"manifest","href":"https://www.afterboards.in/manifest.json","crossOrigin":"$undefined"}],["$","meta","3",{"name":"keywords","content":"IIM-K (BMSAT),QA,Algebra,Linear Equation"}],["$","meta","4",{"name":"robots","content":"index, follow"}],["$","meta","5",{"name":"category","content":"education"}],["$","meta","6",{"name":"google-site-verification","content":"google"}],["$","meta","7",{"property":"og:title","content":"IIM Kozhikode - A told B, “When I was as old as you are now, then your age was four years less than half of my present age\". If the sum of the present ages of A and B is 61 years, what is B's present age in years? | PYQs + Solutions"}],["$","meta","8",{"property":"og:description","content":"undefined Let A's present a>= = a years and B's present a>= = b years

When A was b years old, that was (a - b) years ago At that time, B's a>= was b - (a - b) = 2b - a

According to A's statement: B's a>= at that time was a2 - 4 So we >=t: 2b - a = a2 - 4

Multiplying by 2: 4b - 2a = a - 8 4b = 3a - 8 ... (1)

Sum of present a>=s is 61: a + b = 61 a = 61 - b ... (2)

Substituting (2) into (1): 4b = 3(61 - b) - 8 4b = 183 - 3b - 8 7b = 175 b = 25

Therefore a = 61 - 25 = 36

Verification: When A was 25, B was 25 - 11 = 14 years old 362 - 4 = 18 - 4 = 14 ✓ B's present a>= is 25 years"}],["$","meta","9",{"property":"og:url","content":"https://www.afterboards.in/past-year-questions/iimk-bmsat/2025/QA/22"}],["$","meta","10",{"property":"og:site_name","content":"AfterBoards | IIM Kozhikode Preparation"}],["$","meta","11",{"property":"og:image","content":"https://www.afterboards.in/pyp/AfterBoards%20CUET%20Past%20Year%20Papers%20with%20Solutions.webp"}],["$","meta","12",{"property":"og:type","content":"website"}],["$","meta","13",{"name":"twitter:card","content":"summary_large_image"}],["$","meta","14",{"name":"twitter:site","content":"afterboards.in"}],["$","meta","15",{"name":"twitter:title","content":"IIM Kozhikode - A told B, “When I was as old as you are now, then your age was four years less than half of my present age\". If the sum of the present ages of A and B is 61 years, what is B's present age in years? | PYQs + Solutions"}],["$","meta","16",{"name":"twitter:description","content":"undefined Let A's present a>= = a years and B's present a>= = b years

When A was b years old, that was (a - b) years ago At that time, B's a>= was b - (a - b) = 2b - a

According to A's statement: B's a>= at that time was a2 - 4 So we >=t: 2b - a = a2 - 4

Multiplying by 2: 4b - 2a = a - 8 4b = 3a - 8 ... (1)

Sum of present a>=s is 61: a + b = 61 a = 61 - b ... (2)

Substituting (2) into (1): 4b = 3(61 - b) - 8 4b = 183 - 3b - 8 7b = 175 b = 25

Therefore a = 61 - 25 = 36

Verification: When A was 25, B was 25 - 11 = 14 years old 362 - 4 = 18 - 4 = 14 ✓ B's present a>= is 25 years"}],"$L17","$L18","$L19","$L1a","$L1b","$L1c","$L1d","$L1e","$L1f","$L20"]

IIM Kozhikode (QA) PYQs

Keyboard Shortcuts