Question

Sara’s age is 23 years more than half of shama’s age. Five years ago the sum of their ages was

55 years. Find their present ages.

Solution: let sara’s age be x years and shama’s age be y years.

According to the first condition

x =
y/2+23

– y = 46 …..(I)

Five years ago sara’s age = x – 5

And shama’s age was = ______

Sum of their ages = 55

According to the second condition

(x– 5) + (y – 5) = 55

x + y = ………(II)
Adding equation (I) and (II)

2x – y = 46

x + y = 65

____ = 111

x = 37

Substituting x = 37 in equation (I)

x +y = 65

y = ____

∴ The present age of sara is 37 years and shama’s presnt age is _____years.​

Answer 1

let sara’s age be x years and shama’s age be y years.

According to the first condition

x = 32

y/2+23

– y = 46-23 (I)

Five years ago sara’s age = x – 5

And shama’s age was = 23

Sum of their ages = 55

According to the second condition

(x– 5) + (y – 5) = 55

x + y = 65 (II)

Adding equation (I) and (II)

2x – y = 46

x + y = 65

46+ 65 = 111

x = 37

Substituting x = 37 in equation (I)

x +y = 65

y = 28

∴ The present age of sara is 37 years and shama’s present age is 28 years.

Explanation:

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