Q87. Express ages in terms of x (Kanika’s present age)
Completed Table
| Situation (ordinary language) | Expression (in terms of x) |
|---|---|
| (i) Her brother is 2 years younger. | (x - 2) |
| (ii) Her father’s age exceeds her age by 35 years. | (x + 35) |
| (iii) Mother’s age is 3 years less than that of her father. | (x + 32) |
| (iv) Her grandfather’s age is 8 times of her age. | (8x) |
Step-by-Step Explanation (Very Simple)
(i) Brother is 2 years younger
Kanika’s age is (x).
Younger by 2 means “subtract 2”.
So, Brother’s age:
(x - 2)
(ii) Father’s age exceeds her age by 35 years
Kanika’s age is (x).
“Exceeds by 35” means “add 35”.
So, Father’s age:
(x + 35)
(iii) Mother is 3 years less than the father
From (ii), Father’s age:
(x + 35)
Mother is 3 years less ⇒ subtract 3.
Mother’s age:
((x + 35) - 3)
Simplify:
(x + 32)
(iv) Grandfather’s age is 8 times Kanika’s age
“8 times” means multiply by 8.
Grandfather’s age:
(8 imes x)
Which is:
(8x)
Key idea: Translate words to math carefully — “younger/less” → subtract, “exceeds/more” → add, “times” → multiply.